Finding the Third Proportional to 2,556.56 and 5,211.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.56 : 5,211.84 = 5,211.84 : x
2. Step 2: Convert to fraction form
   2,556.56/5,211.84 = 5,211.84/x
3. Step 3: Cross multiply
   2,556.56x = 5,211.84 × 5,211.84
4. Step 4: Simplify right side
   2,556.56x = 27,163,315.27
5. Step 5: Solve for x
   x = 27,163,315.27/2,556.56
6. Step 6: Final answer
   x = 10,624.94