We use 3605 and 3610 APs in our buildings. We have an AP faced out a window to push the wifi signal out to smaller building, but the signal is too poor, and we don't have any cabling there. Is there a network extender that I can plug into a wall outlet, that will improve the signal?
I would suggest the same thing, a Point-to-Point link (wireless bridge) between buildings to extend the network and then your additional AP behind that. Typically access points aren't designed to talk to each other, but to end devices. Whereas bridges are designed to do what you are attempting, which is to extend your network via a back-haul devise.
The best way to do this is with a set of AP's on each end and a directional antenna to link the two. If you're able to get signal there, but it's just too poor - this solution should easily be able to compensate for that.
As a side note, wifi extenders effectively cut in half the overall bandwidth available between the client and the AP as well. In some cases, it is not enough to make a difference, in others, it might be impactful.