Finding the Third Proportional to 31,670 and 49,422

Step by Step Solution

1. Step 1: Write the proportion equation
   31,670 : 49,422 = 49,422 : x
2. Step 2: Convert to fraction form
   31,670/49,422 = 49,422/x
3. Step 3: Cross multiply
   31,670x = 49,422 × 49,422
4. Step 4: Simplify right side
   31,670x = 2,442,534,084
5. Step 5: Solve for x
   x = 2,442,534,084/31,670
6. Step 6: Final answer
   x = 77,124.54