Finding the Third Proportional to 2,585 and 5,536

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585 : 5,536 = 5,536 : x
2. Step 2: Convert to fraction form
   2,585/5,536 = 5,536/x
3. Step 3: Cross multiply
   2,585x = 5,536 × 5,536
4. Step 4: Simplify right side
   2,585x = 30,647,296
5. Step 5: Solve for x
   x = 30,647,296/2,585
6. Step 6: Final answer
   x = 11,855.82