Finding the Third Proportional to 20,489.50 and 31,159.38

Step by Step Solution

1. Step 1: Write the proportion equation
   20,489.50 : 31,159.38 = 31,159.38 : x
2. Step 2: Convert to fraction form
   20,489.50/31,159.38 = 31,159.38/x
3. Step 3: Cross multiply
   20,489.50x = 31,159.38 × 31,159.38
4. Step 4: Simplify right side
   20,489.50x = 970,906,650.39
5. Step 5: Solve for x
   x = 970,906,650.39/20,489.50
6. Step 6: Final answer
   x = 47,385.57