Finding the Third Proportional to 31,074 and 49,419

Step by Step Solution

1. Step 1: Write the proportion equation
   31,074 : 49,419 = 49,419 : x
2. Step 2: Convert to fraction form
   31,074/49,419 = 49,419/x
3. Step 3: Cross multiply
   31,074x = 49,419 × 49,419
4. Step 4: Simplify right side
   31,074x = 2,442,237,561
5. Step 5: Solve for x
   x = 2,442,237,561/31,074
6. Step 6: Final answer
   x = 78,594.24