Finding the Third Proportional to 2,162 and 4,688

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 4,688 = 4,688 : x
2. Step 2: Convert to fraction form
   2,162/4,688 = 4,688/x
3. Step 3: Cross multiply
   2,162x = 4,688 × 4,688
4. Step 4: Simplify right side
   2,162x = 21,977,344
5. Step 5: Solve for x
   x = 21,977,344/2,162
6. Step 6: Final answer
   x = 10,165.28