Finding the Third Proportional to 33,024 and 71,208

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 71,208 = 71,208 : x
2. Step 2: Convert to fraction form
   33,024/71,208 = 71,208/x
3. Step 3: Cross multiply
   33,024x = 71,208 × 71,208
4. Step 4: Simplify right side
   33,024x = 5,070,579,264
5. Step 5: Solve for x
   x = 5,070,579,264/33,024
6. Step 6: Final answer
   x = 153,542.25