Finding the Third Proportional to 9,139.50 and 9,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,139.50 : 9,868.50 = 9,868.50 : x
2. Step 2: Convert to fraction form
   9,139.50/9,868.50 = 9,868.50/x
3. Step 3: Cross multiply
   9,139.50x = 9,868.50 × 9,868.50
4. Step 4: Simplify right side
   9,139.50x = 97,387,292.25
5. Step 5: Solve for x
   x = 97,387,292.25/9,139.50
6. Step 6: Final answer
   x = 10,655.65