hybrid question

I have a wireless router supporting shareable net storage and print servers
that all users access wirelessly.

I also have a wired network with it's router connected to a DSL modem so all
users have internet access.

I wish to upgrade the firmware of the wireless router but I am lazy and
don't wish to move it or string a cat to it.

Being new at this is it possible to get that router to use a PC's wire
internet connection through the wireless connection between them?

Any help would be appreciated