Finding the Third Proportional to 16,574 and 24,375

Step by Step Solution

1. Step 1: Write the proportion equation
   16,574 : 24,375 = 24,375 : x
2. Step 2: Convert to fraction form
   16,574/24,375 = 24,375/x
3. Step 3: Cross multiply
   16,574x = 24,375 × 24,375
4. Step 4: Simplify right side
   16,574x = 594,140,625
5. Step 5: Solve for x
   x = 594,140,625/16,574
6. Step 6: Final answer
   x = 35,847.75