Finding the Third Proportional to 33,737.50 and 72,665

Step by Step Solution

1. Step 1: Write the proportion equation
   33,737.50 : 72,665 = 72,665 : x
2. Step 2: Convert to fraction form
   33,737.50/72,665 = 72,665/x
3. Step 3: Cross multiply
   33,737.50x = 72,665 × 72,665
4. Step 4: Simplify right side
   33,737.50x = 5,280,202,225
5. Step 5: Solve for x
   x = 5,280,202,225/33,737.50
6. Step 6: Final answer
   x = 156,508.40