Finding the Third Proportional to 31,534.50 and 48,831.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,534.50 : 48,831.75 = 48,831.75 : x
2. Step 2: Convert to fraction form
   31,534.50/48,831.75 = 48,831.75/x
3. Step 3: Cross multiply
   31,534.50x = 48,831.75 × 48,831.75
4. Step 4: Simplify right side
   31,534.50x = 2,384,539,808.06
5. Step 5: Solve for x
   x = 2,384,539,808.06/31,534.50
6. Step 6: Final answer
   x = 75,616.86