Finding the Third Proportional to 9,882 and 14,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882 : 14,863.50 = 14,863.50 : x
2. Step 2: Convert to fraction form
   9,882/14,863.50 = 14,863.50/x
3. Step 3: Cross multiply
   9,882x = 14,863.50 × 14,863.50
4. Step 4: Simplify right side
   9,882x = 220,923,632.25
5. Step 5: Solve for x
   x = 220,923,632.25/9,882
6. Step 6: Final answer
   x = 22,356.17