Finding the Third Proportional to 33,380 and 67,682

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 67,682 = 67,682 : x
2. Step 2: Convert to fraction form
   33,380/67,682 = 67,682/x
3. Step 3: Cross multiply
   33,380x = 67,682 × 67,682
4. Step 4: Simplify right side
   33,380x = 4,580,853,124
5. Step 5: Solve for x
   x = 4,580,853,124/33,380
6. Step 6: Final answer
   x = 137,233.47