I did exactly that about 15 years with 2 Linksys routers to connect an original xbox (they had no wifi). One router was flashed with DD-WRT to support client bridge mode to allow this to work but there are probably other routers that support this natively without flashing its firmware.

I would not recommend this solution unless it’s the only solution. Preferred solution will always be to be 100% wired, if it’s not possible, put the device on the wifi directly.

For a PC, if you can’t run a cable, why not just buy a WIFI PCI-E card or even WIFI USB dongle?