Finding the Third Proportional to 34,540 and 75,665

Step by Step Solution

1. Step 1: Write the proportion equation
   34,540 : 75,665 = 75,665 : x
2. Step 2: Convert to fraction form
   34,540/75,665 = 75,665/x
3. Step 3: Cross multiply
   34,540x = 75,665 × 75,665
4. Step 4: Simplify right side
   34,540x = 5,725,192,225
5. Step 5: Solve for x
   x = 5,725,192,225/34,540
6. Step 6: Final answer
   x = 165,755.42