Finding the Third Proportional to 33,052 and 71,048

Step by Step Solution

1. Step 1: Write the proportion equation
   33,052 : 71,048 = 71,048 : x
2. Step 2: Convert to fraction form
   33,052/71,048 = 71,048/x
3. Step 3: Cross multiply
   33,052x = 71,048 × 71,048
4. Step 4: Simplify right side
   33,052x = 5,047,818,304
5. Step 5: Solve for x
   x = 5,047,818,304/33,052
6. Step 6: Final answer
   x = 152,723.54