Finding the Third Proportional to 31,591.50 and 49,287.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,591.50 : 49,287.75 = 49,287.75 : x
2. Step 2: Convert to fraction form
   31,591.50/49,287.75 = 49,287.75/x
3. Step 3: Cross multiply
   31,591.50x = 49,287.75 × 49,287.75
4. Step 4: Simplify right side
   31,591.50x = 2,429,282,300.06
5. Step 5: Solve for x
   x = 2,429,282,300.06/31,591.50
6. Step 6: Final answer
   x = 76,896.71