Finding the Third Proportional to 31,828.50 and 48,759.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828.50 : 48,759.75 = 48,759.75 : x
2. Step 2: Convert to fraction form
   31,828.50/48,759.75 = 48,759.75/x
3. Step 3: Cross multiply
   31,828.50x = 48,759.75 × 48,759.75
4. Step 4: Simplify right side
   31,828.50x = 2,377,513,220.06
5. Step 5: Solve for x
   x = 2,377,513,220.06/31,828.50
6. Step 6: Final answer
   x = 74,697.62