Finding the Third Proportional to 2,566.69 and 5,497.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 5,497.88 = 5,497.88 : x
2. Step 2: Convert to fraction form
   2,566.69/5,497.88 = 5,497.88/x
3. Step 3: Cross multiply
   2,566.69x = 5,497.88 × 5,497.88
4. Step 4: Simplify right side
   2,566.69x = 30,226,629.52
5. Step 5: Solve for x
   x = 30,226,629.52/2,566.69
6. Step 6: Final answer
   x = 11,776.51