Finding the Third Proportional to 20,574 and 31,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,574 : 31,149.50 = 31,149.50 : x
2. Step 2: Convert to fraction form
   20,574/31,149.50 = 31,149.50/x
3. Step 3: Cross multiply
   20,574x = 31,149.50 × 31,149.50
4. Step 4: Simplify right side
   20,574x = 970,291,350.25
5. Step 5: Solve for x
   x = 970,291,350.25/20,574
6. Step 6: Final answer
   x = 47,161.05