Get yourself 2 lbs of citric acid powder from the grocery store and dissolve it in 1.5 gallons of warm water.
Drain your radiator, pull out your thermostat and with the lower radiator hose disconnected, back flush the system through the thermostat housing with water until it runs clean.
With the radiator cap off, pull the heater core hose off the intake manifold near the firewall, reconnect the lower radiator hose and fill the system with 1.5 gallon citric acid powder solution, topping off with water as necessary. Once it overflows, reconnect the heater hose and keep filling the system until it is full. Replace the thermostat, tighten the housing and start the engine.
With the heater on, run engine for 15 minutes at 2,500 RPM and blip throttle occasionally. Once this is done, allow take the petcock off the radiator and let it drain until it stops. Take the radiator cap off and allow it to drain some more before pulling the thermostat out again and thoroughly backflush the system with a hose until it runs crystal clear.
Refill the system, as described previously, with distilled water this time. Start the engine and run it at 2,500 RPM for 5-10 minutes to flush all cleaning solution from system before repeating the drain procedure described previously. You may need to repeat this process, depending on how the water flows out the radiator. But once it runs clear, refill with your coolant of choice and replace the thermostat and the o-ring. Make sure you "burp" the system afterwards.