Finding the Third Proportional to 14,742 and 22,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,742 : 22,861.50 = 22,861.50 : x
2. Step 2: Convert to fraction form
   14,742/22,861.50 = 22,861.50/x
3. Step 3: Cross multiply
   14,742x = 22,861.50 × 22,861.50
4. Step 4: Simplify right side
   14,742x = 522,648,182.25
5. Step 5: Solve for x
   x = 522,648,182.25/14,742
6. Step 6: Final answer
   x = 35,453.00