Finding the Third Proportional to 31,919 and 68,182

Step by Step Solution

1. Step 1: Write the proportion equation
   31,919 : 68,182 = 68,182 : x
2. Step 2: Convert to fraction form
   31,919/68,182 = 68,182/x
3. Step 3: Cross multiply
   31,919x = 68,182 × 68,182
4. Step 4: Simplify right side
   31,919x = 4,648,785,124
5. Step 5: Solve for x
   x = 4,648,785,124/31,919
6. Step 6: Final answer
   x = 145,643.19