Finding the Third Proportional to 2,068 and 3,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,068 : 3,406 = 3,406 : x
2. Step 2: Convert to fraction form
   2,068/3,406 = 3,406/x
3. Step 3: Cross multiply
   2,068x = 3,406 × 3,406
4. Step 4: Simplify right side
   2,068x = 11,600,836
5. Step 5: Solve for x
   x = 11,600,836/2,068
6. Step 6: Final answer
   x = 5,609.69