Finding the Third Proportional to 2,585.25 and 5,697

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 5,697 = 5,697 : x
2. Step 2: Convert to fraction form
   2,585.25/5,697 = 5,697/x
3. Step 3: Cross multiply
   2,585.25x = 5,697 × 5,697
4. Step 4: Simplify right side
   2,585.25x = 32,455,809
5. Step 5: Solve for x
   x = 32,455,809/2,585.25
6. Step 6: Final answer
   x = 12,554.22