Finding the Third Proportional to 31,744 and 65,408

Step by Step Solution

1. Step 1: Write the proportion equation
   31,744 : 65,408 = 65,408 : x
2. Step 2: Convert to fraction form
   31,744/65,408 = 65,408/x
3. Step 3: Cross multiply
   31,744x = 65,408 × 65,408
4. Step 4: Simplify right side
   31,744x = 4,278,206,464
5. Step 5: Solve for x
   x = 4,278,206,464/31,744
6. Step 6: Final answer
   x = 134,772.13