Finding the Third Proportional to 9,915 and 14,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,915 : 14,116.50 = 14,116.50 : x
2. Step 2: Convert to fraction form
   9,915/14,116.50 = 14,116.50/x
3. Step 3: Cross multiply
   9,915x = 14,116.50 × 14,116.50
4. Step 4: Simplify right side
   9,915x = 199,275,572.25
5. Step 5: Solve for x
   x = 199,275,572.25/9,915
6. Step 6: Final answer
   x = 20,098.39