Are you sure it's water? Sounds like your heater coil may be leaking...
Heater core may be leaking Door seal? Windshield seal?
If it's the front passenger side ,I would say your heater core is leaking .
Windshield seal? Lower door seal? Hole in floor ?
It is quite possible that a wet floor on a 1996 Oldsmobile Silhouette is caused by a leak in the body that allowed rain water to get into the passenger area. Window seals and the seals around the front firewall could have been damaged enough for this to happen.
I had the same issue with a 2001 Alero and the Oldsmobile repair shop installed some sort of deflector inside of the door. Not sure what or where exactly but that is what they told me.
It could be the heater core leaking.
Heater core has failed.
clogged or damaged catalytic converter
Heater core
most likely cause is your heater core leaking
Leak in heater core
The ac drain is plugged. The drain hose is on the firewall on the lower passenger side. ...that, or your heater core is leaking.