Finding the Third Proportional to 33,781.50 and 72,909

Step by Step Solution

1. Step 1: Write the proportion equation
   33,781.50 : 72,909 = 72,909 : x
2. Step 2: Convert to fraction form
   33,781.50/72,909 = 72,909/x
3. Step 3: Cross multiply
   33,781.50x = 72,909 × 72,909
4. Step 4: Simplify right side
   33,781.50x = 5,315,722,281
5. Step 5: Solve for x
   x = 5,315,722,281/33,781.50
6. Step 6: Final answer
   x = 157,356.02