Finding the Third Proportional to 61,542 and 88,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,542 : 88,006.50 = 88,006.50 : x
2. Step 2: Convert to fraction form
   61,542/88,006.50 = 88,006.50/x
3. Step 3: Cross multiply
   61,542x = 88,006.50 × 88,006.50
4. Step 4: Simplify right side
   61,542x = 7,745,144,042.25
5. Step 5: Solve for x
   x = 7,745,144,042.25/61,542
6. Step 6: Final answer
   x = 125,851.35