Finding the Third Proportional to 33,377.50 and 67,676

Step by Step Solution

1. Step 1: Write the proportion equation
   33,377.50 : 67,676 = 67,676 : x
2. Step 2: Convert to fraction form
   33,377.50/67,676 = 67,676/x
3. Step 3: Cross multiply
   33,377.50x = 67,676 × 67,676
4. Step 4: Simplify right side
   33,377.50x = 4,580,040,976
5. Step 5: Solve for x
   x = 4,580,040,976/33,377.50
6. Step 6: Final answer
   x = 137,219.41