Finding the Third Proportional to 33,024 and 71,880

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 71,880 = 71,880 : x
2. Step 2: Convert to fraction form
   33,024/71,880 = 71,880/x
3. Step 3: Cross multiply
   33,024x = 71,880 × 71,880
4. Step 4: Simplify right side
   33,024x = 5,166,734,400
5. Step 5: Solve for x
   x = 5,166,734,400/33,024
6. Step 6: Final answer
   x = 156,453.92