Finding the Third Proportional to 2,565 and 3,409.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565 : 3,409.59 = 3,409.59 : x
2. Step 2: Convert to fraction form
   2,565/3,409.59 = 3,409.59/x
3. Step 3: Cross multiply
   2,565x = 3,409.59 × 3,409.59
4. Step 4: Simplify right side
   2,565x = 11,625,329.54
5. Step 5: Solve for x
   x = 11,625,329.54/2,565
6. Step 6: Final answer
   x = 4,532.29