Finding the Third Proportional to 2,566.69 and 2,818.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.69 : 2,818.13 = 2,818.13 : x
2. Step 2: Convert to fraction form
   2,566.69/2,818.13 = 2,818.13/x
3. Step 3: Cross multiply
   2,566.69x = 2,818.13 × 2,818.13
4. Step 4: Simplify right side
   2,566.69x = 7,941,828.52
5. Step 5: Solve for x
   x = 7,941,828.52/2,566.69
6. Step 6: Final answer
   x = 3,094.19