Finding the Third Proportional to 33,761 and 72,715

Step by Step Solution

1. Step 1: Write the proportion equation
   33,761 : 72,715 = 72,715 : x
2. Step 2: Convert to fraction form
   33,761/72,715 = 72,715/x
3. Step 3: Cross multiply
   33,761x = 72,715 × 72,715
4. Step 4: Simplify right side
   33,761x = 5,287,471,225
5. Step 5: Solve for x
   x = 5,287,471,225/33,761
6. Step 6: Final answer
   x = 156,614.77