Finding the Third Proportional to 2,162 and 5,005

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 5,005 = 5,005 : x
2. Step 2: Convert to fraction form
   2,162/5,005 = 5,005/x
3. Step 3: Cross multiply
   2,162x = 5,005 × 5,005
4. Step 4: Simplify right side
   2,162x = 25,050,025
5. Step 5: Solve for x
   x = 25,050,025/2,162
6. Step 6: Final answer
   x = 11,586.51