Finding the Third Proportional to 1,082 and 2,380

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082 : 2,380 = 2,380 : x
2. Step 2: Convert to fraction form
   1,082/2,380 = 2,380/x
3. Step 3: Cross multiply
   1,082x = 2,380 × 2,380
4. Step 4: Simplify right side
   1,082x = 5,664,400
5. Step 5: Solve for x
   x = 5,664,400/1,082
6. Step 6: Final answer
   x = 5,235.12