Finding the Third Proportional to 1,540.27 and 2,556.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.27 : 2,556.56 = 2,556.56 : x
2. Step 2: Convert to fraction form
   1,540.27/2,556.56 = 2,556.56/x
3. Step 3: Cross multiply
   1,540.27x = 2,556.56 × 2,556.56
4. Step 4: Simplify right side
   1,540.27x = 6,536,011.82
5. Step 5: Solve for x
   x = 6,536,011.82/1,540.27
6. Step 6: Final answer
   x = 4,243.43