First of all, since you cannot draw a cable across the street, you will need to setup a wireless AP (Access Point) attached to the network to which the 192.168.25.10 machine belongs; you can do this either by using a switch immediately before the 192.168.25.10 machine, to which you you will connect both this machine and the AP, or by connecting the AP directly to the machine, if you know what you are doing. There are billions of Access Points by just about all manufacturers, you will have no problem finding one suitable to your budget.
What you need on the other side of the road is a wireless bridge, i.e. a component which connects wirelessly to a router, and accepts wired clients sharing the wireless connection to the router.
The following pic, from the DD-WRT wiki, should clarify the situation:
In fact, your case is the textbook case for the use of a wireless bridge.
Caution: there is some confusion in the literature, you will see sometime people refer to a wireless repeater; a wireless repeater is identical to a wireless bridge, except it can also have wireless clients, not just wired ones. This is not a good solution for you, for two reasons: first wireless repeaters tend to cost more than wireless bridges because they pack two functionalities into a single component; second, they are slower, because the wireless repeater bridge is used, for half of the time, to listen to its wireless clients, and it uses thus only half of its time to broadcast to the main router the traffic of its wired and wireless clients.
This picture uses a specific model (a now obsolete Linksys-WRT54G) for both the router and the wireless bridge, but this is just a suggestion among many possible ones. To make this work you may use any modern router supporting DD-WRT, for an up-to-date list see here; please notice that Buffalo sells some models with DD-WRT pre-installed, which I always found convenient. But you can also buy a non-DD-WRT component specifically called wireless bridge, just check any online sellers to find many different possibilities.
When you have the wireless bridge in place, just connect an ethernet cable from one of its client ports to the outer port of your router, and you are done: from the point of view of your home network clients, all of this will be totally transparent: your home machines will connect freely to the Internet and to the LAN on the other side of the road.
Last point: this configuration is now asymmetric, i.e. computers on your home LAN can reach computers on the LAN 192.168.25.0/24, but the vice versa is false: the machines on the other side of the street cannot reach your home LAN. In your OP, there is no such requirement, hence I will skip this part, but if instead you need to accomplish this too, just write and I will show you how to do it.