Finding the Third Proportional to 33,678 and 71,452

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 71,452 = 71,452 : x
2. Step 2: Convert to fraction form
   33,678/71,452 = 71,452/x
3. Step 3: Cross multiply
   33,678x = 71,452 × 71,452
4. Step 4: Simplify right side
   33,678x = 5,105,388,304
5. Step 5: Solve for x
   x = 5,105,388,304/33,678
6. Step 6: Final answer
   x = 151,594.17