Finding the Third Proportional to 2,694.52 and 5,863.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,694.52 : 5,863.64 = 5,863.64 : x
2. Step 2: Convert to fraction form
   2,694.52/5,863.64 = 5,863.64/x
3. Step 3: Cross multiply
   2,694.52x = 5,863.64 × 5,863.64
4. Step 4: Simplify right side
   2,694.52x = 34,382,281.38
5. Step 5: Solve for x
   x = 34,382,281.38/2,694.52
6. Step 6: Final answer
   x = 12,760.10