|Please post the output of ipconfig /all from that pc, where you are able to ping the linksys routers ip address 192.168.1.1.|
You mentioned, that your computer has an ip address of 192.168.3.x.
This is a class C address that normally has a default subnet mask of 255.255.255.0.
If this is true in your case, it is not possible, to ping the linksys routers ip address.
So please also post the output of the ping command here for review.