Finding the Third Proportional to 31,826 and 62,849

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826 : 62,849 = 62,849 : x
2. Step 2: Convert to fraction form
   31,826/62,849 = 62,849/x
3. Step 3: Cross multiply
   31,826x = 62,849 × 62,849
4. Step 4: Simplify right side
   31,826x = 3,949,996,801
5. Step 5: Solve for x
   x = 3,949,996,801/31,826
6. Step 6: Final answer
   x = 124,112.26