Finding the Third Proportional to 31,757 and 49,449

Step by Step Solution

1. Step 1: Write the proportion equation
   31,757 : 49,449 = 49,449 : x
2. Step 2: Convert to fraction form
   31,757/49,449 = 49,449/x
3. Step 3: Cross multiply
   31,757x = 49,449 × 49,449
4. Step 4: Simplify right side
   31,757x = 2,445,203,601
5. Step 5: Solve for x
   x = 2,445,203,601/31,757
6. Step 6: Final answer
   x = 76,997.31