Finding the Third Proportional to 1,034 and 1,082

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034 : 1,082 = 1,082 : x
2. Step 2: Convert to fraction form
   1,034/1,082 = 1,082/x
3. Step 3: Cross multiply
   1,034x = 1,082 × 1,082
4. Step 4: Simplify right side
   1,034x = 1,170,724
5. Step 5: Solve for x
   x = 1,170,724/1,034
6. Step 6: Final answer
   x = 1,132.23