Finding the Third Proportional to 31,572.25 and 48,765.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,572.25 : 48,765.75 = 48,765.75 : x
2. Step 2: Convert to fraction form
   31,572.25/48,765.75 = 48,765.75/x
3. Step 3: Cross multiply
   31,572.25x = 48,765.75 × 48,765.75
4. Step 4: Simplify right side
   31,572.25x = 2,378,098,373.06
5. Step 5: Solve for x
   x = 2,378,098,373.06/31,572.25
6. Step 6: Final answer
   x = 75,322.42