Finding the Third Proportional to 31,510.50 and 48,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,510.50 : 48,789.75 = 48,789.75 : x
2. Step 2: Convert to fraction form
   31,510.50/48,789.75 = 48,789.75/x
3. Step 3: Cross multiply
   31,510.50x = 48,789.75 × 48,789.75
4. Step 4: Simplify right side
   31,510.50x = 2,380,439,705.06
5. Step 5: Solve for x
   x = 2,380,439,705.06/31,510.50
6. Step 6: Final answer
   x = 75,544.33