Finding the Third Proportional to 65,762 and 101,715

Step by Step Solution

1. Step 1: Write the proportion equation
   65,762 : 101,715 = 101,715 : x
2. Step 2: Convert to fraction form
   65,762/101,715 = 101,715/x
3. Step 3: Cross multiply
   65,762x = 101,715 × 101,715
4. Step 4: Simplify right side
   65,762x = 10,345,941,225
5. Step 5: Solve for x
   x = 10,345,941,225/65,762
6. Step 6: Final answer
   x = 157,324.01