Finding the Third Proportional to 33,380 and 67,681

Step by Step Solution

1. Step 1: Write the proportion equation
   33,380 : 67,681 = 67,681 : x
2. Step 2: Convert to fraction form
   33,380/67,681 = 67,681/x
3. Step 3: Cross multiply
   33,380x = 67,681 × 67,681
4. Step 4: Simplify right side
   33,380x = 4,580,717,761
5. Step 5: Solve for x
   x = 4,580,717,761/33,380
6. Step 6: Final answer
   x = 137,229.41