Finding the Third Proportional to 14,566.50 and 24,171.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566.50 : 24,171.75 = 24,171.75 : x
2. Step 2: Convert to fraction form
   14,566.50/24,171.75 = 24,171.75/x
3. Step 3: Cross multiply
   14,566.50x = 24,171.75 × 24,171.75
4. Step 4: Simplify right side
   14,566.50x = 584,273,498.06
5. Step 5: Solve for x
   x = 584,273,498.06/14,566.50
6. Step 6: Final answer
   x = 40,110.77