Finding the Third Proportional to 33,028 and 71,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,028 : 71,320 = 71,320 : x
2. Step 2: Convert to fraction form
   33,028/71,320 = 71,320/x
3. Step 3: Cross multiply
   33,028x = 71,320 × 71,320
4. Step 4: Simplify right side
   33,028x = 5,086,542,400
5. Step 5: Solve for x
   x = 5,086,542,400/33,028
6. Step 6: Final answer
   x = 154,006.98