Finding the Third Proportional to 11,568 and 14,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,568 : 14,617.50 = 14,617.50 : x
2. Step 2: Convert to fraction form
   11,568/14,617.50 = 14,617.50/x
3. Step 3: Cross multiply
   11,568x = 14,617.50 × 14,617.50
4. Step 4: Simplify right side
   11,568x = 213,671,306.25
5. Step 5: Solve for x
   x = 213,671,306.25/11,568
6. Step 6: Final answer
   x = 18,470.89