Finding the Third Proportional to 31,502 and 49,413

Step by Step Solution

1. Step 1: Write the proportion equation
   31,502 : 49,413 = 49,413 : x
2. Step 2: Convert to fraction form
   31,502/49,413 = 49,413/x
3. Step 3: Cross multiply
   31,502x = 49,413 × 49,413
4. Step 4: Simplify right side
   31,502x = 2,441,644,569
5. Step 5: Solve for x
   x = 2,441,644,569/31,502
6. Step 6: Final answer
   x = 77,507.60