Finding the Third Proportional to 2,585.25 and 3,954.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 3,954.38 = 3,954.38 : x
2. Step 2: Convert to fraction form
   2,585.25/3,954.38 = 3,954.38/x
3. Step 3: Cross multiply
   2,585.25x = 3,954.38 × 3,954.38
4. Step 4: Simplify right side
   2,585.25x = 15,637,081.64
5. Step 5: Solve for x
   x = 15,637,081.64/2,585.25
6. Step 6: Final answer
   x = 6,048.58