Finding the Third Proportional to 2,162 and 3,262

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 3,262 = 3,262 : x
2. Step 2: Convert to fraction form
   2,162/3,262 = 3,262/x
3. Step 3: Cross multiply
   2,162x = 3,262 × 3,262
4. Step 4: Simplify right side
   2,162x = 10,640,644
5. Step 5: Solve for x
   x = 10,640,644/2,162
6. Step 6: Final answer
   x = 4,921.67