Finding the Third Proportional to 33,082 and 72,104

Step by Step Solution

1. Step 1: Write the proportion equation
   33,082 : 72,104 = 72,104 : x
2. Step 2: Convert to fraction form
   33,082/72,104 = 72,104/x
3. Step 3: Cross multiply
   33,082x = 72,104 × 72,104
4. Step 4: Simplify right side
   33,082x = 5,198,986,816
5. Step 5: Solve for x
   x = 5,198,986,816/33,082
6. Step 6: Final answer
   x = 157,154.55