Finding the Third Proportional to 1,082 and 2,372

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082 : 2,372 = 2,372 : x
2. Step 2: Convert to fraction form
   1,082/2,372 = 2,372/x
3. Step 3: Cross multiply
   1,082x = 2,372 × 2,372
4. Step 4: Simplify right side
   1,082x = 5,626,384
5. Step 5: Solve for x
   x = 5,626,384/1,082
6. Step 6: Final answer
   x = 5,199.99