There comes a time in any manual transmission car where the clutch needs an adjustment. This is something you can do yourself. However, if no amount of adjustment of the Mitsubishi Galant's clutch will work, then it's time to look for another solution.
Check beneath the hood at the level of the clutch fluid in the Mitsubishi Galant's reservoir. The reservoir is located on in the rear left of the engine bay. Fill the reservoir to the recommended level and pump the pedal to restore the pressure in the system. If the level of the reservoir doesn't stay the same, you may have a leak in the reservoir, the master/slave cylinders or the lines. Check for any leaks, and replace any faulty parts.
Bleed the clutch system by opening the bleeder valve on the slave cylinder (located by the clutch housing). Insert one end of a hose in the slave cylinder, and the other end into a clear container with clutch fluid. Pump the clutch pedal gently until you don't see any air bubbles in the container. You might have to replace clutch fluid when you are done.
Adjust the free play of the Mitsubishi Galant's clutch pedal by turning the lock nut on the push rod, and rotating the pushrod itself. Once you have achieved the amount of free play you like, tighten the lock nut again.
Turn the lock nut on the top of the clutch pedal to adjust the height of the clutch. This can change at which point the clutch pedal engages in your Mitsubishi Galant.
Replace the clutch and other related parts if the adjustments do not hold. Since the clutch works through friction, it's inevitable that these parts will wear over time.