Guide on how to install a 3DS analog stick for GC C-stick?

[Gamerlolwind]

Hay everyone,
I just opened up my 3DS Circle pad pro and salvaged the analog stick from it.

I was wondering how can you use this on a GameCube controller to replace the C-stick?

I've seen SS do it with the XGC for replacing the GC control stick and C-stick with 3DS numbs.