Probably something simple - but here's what happens.

Door open: dome lights on
Key in: bells, lights, clock, radio, fans
Key Turn: one loud CLICK then nothing from the engine area but all the
aforementioned still functioning....


What I've done:
pulled both cables from both terminals steel wooled both of them and
the insides of the cables
same thing after tightening the cables back on the terminals

charged/jumped from my car after it ran for 15 minutes (connection was
good too!)

So, is this the starter? Starter solenoid? Something along those lines?
I'm so completely LOST as to where the starter is! I haven't been under
the car yet...so not sure...but I just really can't follow the lead
from the battery to...where IS the starter ANYWAY?