Finding the Third Proportional to 33,235 and 71,687

Step by Step Solution

1. Step 1: Write the proportion equation
   33,235 : 71,687 = 71,687 : x
2. Step 2: Convert to fraction form
   33,235/71,687 = 71,687/x
3. Step 3: Cross multiply
   33,235x = 71,687 × 71,687
4. Step 4: Simplify right side
   33,235x = 5,139,025,969
5. Step 5: Solve for x
   x = 5,139,025,969/33,235
6. Step 6: Final answer
   x = 154,626.93