Finding the Third Proportional to 33,496 and 71,024

Step by Step Solution

1. Step 1: Write the proportion equation
   33,496 : 71,024 = 71,024 : x
2. Step 2: Convert to fraction form
   33,496/71,024 = 71,024/x
3. Step 3: Cross multiply
   33,496x = 71,024 × 71,024
4. Step 4: Simplify right side
   33,496x = 5,044,408,576
5. Step 5: Solve for x
   x = 5,044,408,576/33,496
6. Step 6: Final answer
   x = 150,597.34