Finding the Third Proportional to 2,082 and 2,826

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082 : 2,826 = 2,826 : x
2. Step 2: Convert to fraction form
   2,082/2,826 = 2,826/x
3. Step 3: Cross multiply
   2,082x = 2,826 × 2,826
4. Step 4: Simplify right side
   2,082x = 7,986,276
5. Step 5: Solve for x
   x = 7,986,276/2,082
6. Step 6: Final answer
   x = 3,835.87