Finding the Third Proportional to 31,664.50 and 49,414

Step by Step Solution

1. Step 1: Write the proportion equation
   31,664.50 : 49,414 = 49,414 : x
2. Step 2: Convert to fraction form
   31,664.50/49,414 = 49,414/x
3. Step 3: Cross multiply
   31,664.50x = 49,414 × 49,414
4. Step 4: Simplify right side
   31,664.50x = 2,441,743,396
5. Step 5: Solve for x
   x = 2,441,743,396/31,664.50
6. Step 6: Final answer
   x = 77,112.96