Finding the Third Proportional to 2,556 and 3,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556 : 3,406 = 3,406 : x
2. Step 2: Convert to fraction form
   2,556/3,406 = 3,406/x
3. Step 3: Cross multiply
   2,556x = 3,406 × 3,406
4. Step 4: Simplify right side
   2,556x = 11,600,836
5. Step 5: Solve for x
   x = 11,600,836/2,556
6. Step 6: Final answer
   x = 4,538.67