Finding the Third Proportional to 31,142.25 and 48,354.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142.25 : 48,354.75 = 48,354.75 : x
2. Step 2: Convert to fraction form
   31,142.25/48,354.75 = 48,354.75/x
3. Step 3: Cross multiply
   31,142.25x = 48,354.75 × 48,354.75
4. Step 4: Simplify right side
   31,142.25x = 2,338,181,847.56
5. Step 5: Solve for x
   x = 2,338,181,847.56/31,142.25
6. Step 6: Final answer
   x = 75,080.70