The Pioneer PC-3MC appears to be a 1/2-mount cartridge, while the Technics SL-10 has
a P-mount arm, so there's no way to get it to fit, unfortunately. If you want a moving coil cartridge to fit the SL-10, you'll have to look for an
Ortofon X1-MCP (which was produced until fairly recently) or something vintage like a
Sumiko Blue Point, which I have an example of (needs a re-tip) Please note that most of those are high output, so you won't be able to use the SL-10's built-in pre-pre as you would've with the EPC-310MC.
-Adam