First there's been a lot of good replies to this thread and I have enjoyed reading them. But my question to NoBShere is why are you trying to calculate Density Altitude at all? What is really important is the takeoff and landing distances required at the airports you will be using or may have to use. Let me explain my reasoning.
Once you are airborne and clear above terrain and obstacles, density altitude doesn't matter that much. The airplane will do what it's going to do and you don't have to calculate it. That is a problem for the engineers, not the pilots. When you get close to the ground and are considering landing at some airport the important information to know is whether or not you can land at that airport safely, and take off again when you're ready to leave. Most poh manuals give you take off and landing distances based on pressure altitude and air temperature correction, at least the ones I have read.
When I was learning how to plan a cross-country my flight instructor told me to plan a flight to land at my destination with FAA minimum fuel left on board. From Fredericksburg VA KEZF his suggestion for my Cherokee-140 was Knoxville TN. He wanted the takeoff and landing distances required with prevailing weather at each airport, at an alternate airport nearby, and at 3 airports along the way.
His point was driven home to me in a big way. Depending on the prevailing weather nearly any airport can be too short or just long enough, and you as a pilot need to know that information before you get in the cockpit. Density altitude by itself is an arbitrary number, but takeoff and landing distances are hard numbers that you need to know, and add a reasonable margin of safety for.
When you are flying over the terrain in hot weather, what length runway is acceptable, marginal, or unacceptable? If your engine quits, you are going to take what you can get, but there are a lot of other reasons why you might want to land sooner rather than later along your route of flight. If you pull up nearest airports on your GPS which ones can you use and which ones do you need to eliminate? Landing and takeoff distances vary dramatically with pressure altitude and air temperature, so each airport at a different elevation will have a different number. I like to add 1000 ft elevation to the highest airport along my route, and calculate the landing and takeoff distances for that airport with prevailing weather at the hottest part of the day. Those are the numbers you need to know.
Have FUN! Fly SAFE! Petehdgs.