Finding the Third Proportional to 8,166 and 10,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,166 : 10,399.50 = 10,399.50 : x
2. Step 2: Convert to fraction form
   8,166/10,399.50 = 10,399.50/x
3. Step 3: Cross multiply
   8,166x = 10,399.50 × 10,399.50
4. Step 4: Simplify right side
   8,166x = 108,149,600.25
5. Step 5: Solve for x
   x = 108,149,600.25/8,166
6. Step 6: Final answer
   x = 13,243.89