Finding the Third Proportional to 20,419.83 and 31,542.78

Step by Step Solution

1. Step 1: Write the proportion equation
   20,419.83 : 31,542.78 = 31,542.78 : x
2. Step 2: Convert to fraction form
   20,419.83/31,542.78 = 31,542.78/x
3. Step 3: Cross multiply
   20,419.83x = 31,542.78 × 31,542.78
4. Step 4: Simplify right side
   20,419.83x = 994,946,740.95
5. Step 5: Solve for x
   x = 994,946,740.95/20,419.83
6. Step 6: Final answer
   x = 48,724.53