Finding the Third Proportional to 2,182 and 3,078

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182 : 3,078 = 3,078 : x
2. Step 2: Convert to fraction form
   2,182/3,078 = 3,078/x
3. Step 3: Cross multiply
   2,182x = 3,078 × 3,078
4. Step 4: Simplify right side
   2,182x = 9,474,084
5. Step 5: Solve for x
   x = 9,474,084/2,182
6. Step 6: Final answer
   x = 4,341.93