Finding the Third Proportional to 9,909 and 12,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,909 : 12,895.50 = 12,895.50 : x
2. Step 2: Convert to fraction form
   9,909/12,895.50 = 12,895.50/x
3. Step 3: Cross multiply
   9,909x = 12,895.50 × 12,895.50
4. Step 4: Simplify right side
   9,909x = 166,293,920.25
5. Step 5: Solve for x
   x = 166,293,920.25/9,909
6. Step 6: Final answer
   x = 16,782.11