Finding the Third Proportional to 2,556.56 and 5,175.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.56 : 5,175.14 = 5,175.14 : x
2. Step 2: Convert to fraction form
   2,556.56/5,175.14 = 5,175.14/x
3. Step 3: Cross multiply
   2,556.56x = 5,175.14 × 5,175.14
4. Step 4: Simplify right side
   2,556.56x = 26,782,080.49
5. Step 5: Solve for x
   x = 26,782,080.49/2,556.56
6. Step 6: Final answer
   x = 10,475.82