Finding the Third Proportional to 72,658.50 and 97,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,658.50 : 97,642.50 = 97,642.50 : x
2. Step 2: Convert to fraction form
   72,658.50/97,642.50 = 97,642.50/x
3. Step 3: Cross multiply
   72,658.50x = 97,642.50 × 97,642.50
4. Step 4: Simplify right side
   72,658.50x = 9,534,057,806.25
5. Step 5: Solve for x
   x = 9,534,057,806.25/72,658.50
6. Step 6: Final answer
   x = 131,217.38