Finding the Third Proportional to 33,039 and 72,324

Step by Step Solution

1. Step 1: Write the proportion equation
   33,039 : 72,324 = 72,324 : x
2. Step 2: Convert to fraction form
   33,039/72,324 = 72,324/x
3. Step 3: Cross multiply
   33,039x = 72,324 × 72,324
4. Step 4: Simplify right side
   33,039x = 5,230,760,976
5. Step 5: Solve for x
   x = 5,230,760,976/33,039
6. Step 6: Final answer
   x = 158,320.80