Finding the Third Proportional to 9,502.50 and 10,686.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502.50 : 10,686.75 = 10,686.75 : x
2. Step 2: Convert to fraction form
   9,502.50/10,686.75 = 10,686.75/x
3. Step 3: Cross multiply
   9,502.50x = 10,686.75 × 10,686.75
4. Step 4: Simplify right side
   9,502.50x = 114,206,625.56
5. Step 5: Solve for x
   x = 114,206,625.56/9,502.50
6. Step 6: Final answer
   x = 12,018.59