Finding the Third Proportional to 2,068 and 3,286

Step by Step Solution

1. Step 1: Write the proportion equation
   2,068 : 3,286 = 3,286 : x
2. Step 2: Convert to fraction form
   2,068/3,286 = 3,286/x
3. Step 3: Cross multiply
   2,068x = 3,286 × 3,286
4. Step 4: Simplify right side
   2,068x = 10,797,796
5. Step 5: Solve for x
   x = 10,797,796/2,068
6. Step 6: Final answer
   x = 5,221.37