Finding the Third Proportional to 2,556 and 3,476

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556 : 3,476 = 3,476 : x
2. Step 2: Convert to fraction form
   2,556/3,476 = 3,476/x
3. Step 3: Cross multiply
   2,556x = 3,476 × 3,476
4. Step 4: Simplify right side
   2,556x = 12,082,576
5. Step 5: Solve for x
   x = 12,082,576/2,556
6. Step 6: Final answer
   x = 4,727.14