Finding the Third Proportional to 2,566.69 and 5,285.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 5,285.25 = 5,285.25 : x
2. Step 2: Convert to fraction form
   2,566.69/5,285.25 = 5,285.25/x
3. Step 3: Cross multiply
   2,566.69x = 5,285.25 × 5,285.25
4. Step 4: Simplify right side
   2,566.69x = 27,933,867.56
5. Step 5: Solve for x
   x = 27,933,867.56/2,566.69
6. Step 6: Final answer
   x = 10,883.24