Finding the Third Proportional to 2,082 and 3,112

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082 : 3,112 = 3,112 : x
2. Step 2: Convert to fraction form
   2,082/3,112 = 3,112/x
3. Step 3: Cross multiply
   2,082x = 3,112 × 3,112
4. Step 4: Simplify right side
   2,082x = 9,684,544
5. Step 5: Solve for x
   x = 9,684,544/2,082
6. Step 6: Final answer
   x = 4,651.56