Finding the Third Proportional to 2,536 and 3,564

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536 : 3,564 = 3,564 : x
2. Step 2: Convert to fraction form
   2,536/3,564 = 3,564/x
3. Step 3: Cross multiply
   2,536x = 3,564 × 3,564
4. Step 4: Simplify right side
   2,536x = 12,702,096
5. Step 5: Solve for x
   x = 12,702,096/2,536
6. Step 6: Final answer
   x = 5,008.71