Finding the Third Proportional to 33,024 and 71,580

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 71,580 = 71,580 : x
2. Step 2: Convert to fraction form
   33,024/71,580 = 71,580/x
3. Step 3: Cross multiply
   33,024x = 71,580 × 71,580
4. Step 4: Simplify right side
   33,024x = 5,123,696,400
5. Step 5: Solve for x
   x = 5,123,696,400/33,024
6. Step 6: Final answer
   x = 155,150.69