Finding the Third Proportional to 2,556 and 5,896.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556 : 5,896.13 = 5,896.13 : x
2. Step 2: Convert to fraction form
   2,556/5,896.13 = 5,896.13/x
3. Step 3: Cross multiply
   2,556x = 5,896.13 × 5,896.13
4. Step 4: Simplify right side
   2,556x = 34,764,290.02
5. Step 5: Solve for x
   x = 34,764,290.02/2,556
6. Step 6: Final answer
   x = 13,601.05