Finding the Third Proportional to 2,162 and 5,101

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 5,101 = 5,101 : x
2. Step 2: Convert to fraction form
   2,162/5,101 = 5,101/x
3. Step 3: Cross multiply
   2,162x = 5,101 × 5,101
4. Step 4: Simplify right side
   2,162x = 26,020,201
5. Step 5: Solve for x
   x = 26,020,201/2,162
6. Step 6: Final answer
   x = 12,035.25