Finding the Third Proportional to 2,566.69 and 2,863.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 2,863.69 = 2,863.69 : x
2. Step 2: Convert to fraction form
   2,566.69/2,863.69 = 2,863.69/x
3. Step 3: Cross multiply
   2,566.69x = 2,863.69 × 2,863.69
4. Step 4: Simplify right side
   2,566.69x = 8,200,706.10
5. Step 5: Solve for x
   x = 8,200,706.10/2,566.69
6. Step 6: Final answer
   x = 3,195.05