Finding the Third Proportional to 2,585.25 and 3,642.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 3,642.47 = 3,642.47 : x
2. Step 2: Convert to fraction form
   2,585.25/3,642.47 = 3,642.47/x
3. Step 3: Cross multiply
   2,585.25x = 3,642.47 × 3,642.47
4. Step 4: Simplify right side
   2,585.25x = 13,267,578.59
5. Step 5: Solve for x
   x = 13,267,578.59/2,585.25
6. Step 6: Final answer
   x = 5,132.03