Finding the Third Proportional to 1,540.69 and 3,268.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.69 : 3,268.69 = 3,268.69 : x
2. Step 2: Convert to fraction form
   1,540.69/3,268.69 = 3,268.69/x
3. Step 3: Cross multiply
   1,540.69x = 3,268.69 × 3,268.69
4. Step 4: Simplify right side
   1,540.69x = 10,684,317.97
5. Step 5: Solve for x
   x = 10,684,317.97/1,540.69
6. Step 6: Final answer
   x = 6,934.77