Finding the Third Proportional to 9,691.50 and 12,516.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,691.50 : 12,516.75 = 12,516.75 : x
2. Step 2: Convert to fraction form
   9,691.50/12,516.75 = 12,516.75/x
3. Step 3: Cross multiply
   9,691.50x = 12,516.75 × 12,516.75
4. Step 4: Simplify right side
   9,691.50x = 156,669,030.56
5. Step 5: Solve for x
   x = 156,669,030.56/9,691.50
6. Step 6: Final answer
   x = 16,165.61