Finding the Third Proportional to 14,664 and 24,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,664 : 24,073.50 = 24,073.50 : x
2. Step 2: Convert to fraction form
   14,664/24,073.50 = 24,073.50/x
3. Step 3: Cross multiply
   14,664x = 24,073.50 × 24,073.50
4. Step 4: Simplify right side
   14,664x = 579,533,402.25
5. Step 5: Solve for x
   x = 579,533,402.25/14,664
6. Step 6: Final answer
   x = 39,520.83