Finding the Third Proportional to 2,182 and 5,092

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182 : 5,092 = 5,092 : x
2. Step 2: Convert to fraction form
   2,182/5,092 = 5,092/x
3. Step 3: Cross multiply
   2,182x = 5,092 × 5,092
4. Step 4: Simplify right side
   2,182x = 25,928,464
5. Step 5: Solve for x
   x = 25,928,464/2,182
6. Step 6: Final answer
   x = 11,882.89