Finding the Third Proportional to 33,756 and 72,687

Step by Step Solution

1. Step 1: Write the proportion equation
   33,756 : 72,687 = 72,687 : x
2. Step 2: Convert to fraction form
   33,756/72,687 = 72,687/x
3. Step 3: Cross multiply
   33,756x = 72,687 × 72,687
4. Step 4: Simplify right side
   33,756x = 5,283,399,969
5. Step 5: Solve for x
   x = 5,283,399,969/33,756
6. Step 6: Final answer
   x = 156,517.36