Finding the Third Proportional to 2,256 and 3,536

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256 : 3,536 = 3,536 : x
2. Step 2: Convert to fraction form
   2,256/3,536 = 3,536/x
3. Step 3: Cross multiply
   2,256x = 3,536 × 3,536
4. Step 4: Simplify right side
   2,256x = 12,503,296
5. Step 5: Solve for x
   x = 12,503,296/2,256
6. Step 6: Final answer
   x = 5,542.24