Finding the Third Proportional to 33,382 and 67,686

Step by Step Solution

1. Step 1: Write the proportion equation
   33,382 : 67,686 = 67,686 : x
2. Step 2: Convert to fraction form
   33,382/67,686 = 67,686/x
3. Step 3: Cross multiply
   33,382x = 67,686 × 67,686
4. Step 4: Simplify right side
   33,382x = 4,581,394,596
5. Step 5: Solve for x
   x = 4,581,394,596/33,382
6. Step 6: Final answer
   x = 137,241.47