Finding the Third Proportional to 33,074 and 72,571

Step by Step Solution

1. Step 1: Write the proportion equation
   33,074 : 72,571 = 72,571 : x
2. Step 2: Convert to fraction form
   33,074/72,571 = 72,571/x
3. Step 3: Cross multiply
   33,074x = 72,571 × 72,571
4. Step 4: Simplify right side
   33,074x = 5,266,550,041
5. Step 5: Solve for x
   x = 5,266,550,041/33,074
6. Step 6: Final answer
   x = 159,235.35