Finding the Third Proportional to 16,174.50 and 24,693.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,174.50 : 24,693.75 = 24,693.75 : x
2. Step 2: Convert to fraction form
   16,174.50/24,693.75 = 24,693.75/x
3. Step 3: Cross multiply
   16,174.50x = 24,693.75 × 24,693.75
4. Step 4: Simplify right side
   16,174.50x = 609,781,289.06
5. Step 5: Solve for x
   x = 609,781,289.06/16,174.50
6. Step 6: Final answer
   x = 37,700.16