Finding the Third Proportional to 31,682 and 49,275

Step by Step Solution

1. Step 1: Write the proportion equation
   31,682 : 49,275 = 49,275 : x
2. Step 2: Convert to fraction form
   31,682/49,275 = 49,275/x
3. Step 3: Cross multiply
   31,682x = 49,275 × 49,275
4. Step 4: Simplify right side
   31,682x = 2,428,025,625
5. Step 5: Solve for x
   x = 2,428,025,625/31,682
6. Step 6: Final answer
   x = 76,637.38