Finding the Third Proportional to 31,306 and 67,919

Step by Step Solution

1. Step 1: Write the proportion equation
   31,306 : 67,919 = 67,919 : x
2. Step 2: Convert to fraction form
   31,306/67,919 = 67,919/x
3. Step 3: Cross multiply
   31,306x = 67,919 × 67,919
4. Step 4: Simplify right side
   31,306x = 4,612,990,561
5. Step 5: Solve for x
   x = 4,612,990,561/31,306
6. Step 6: Final answer
   x = 147,351.64