Finding the Third Proportional to 31,664.25 and 49,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664.25 : 49,443.75 = 49,443.75 : x
2. Step 2: Convert to fraction form
   31,664.25/49,443.75 = 49,443.75/x
3. Step 3: Cross multiply
   31,664.25x = 49,443.75 × 49,443.75
4. Step 4: Simplify right side
   31,664.25x = 2,444,684,414.06
5. Step 5: Solve for x
   x = 2,444,684,414.06/31,664.25
6. Step 6: Final answer
   x = 77,206.45