Finding the Third Proportional to 3,638 and 5,564

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638 : 5,564 = 5,564 : x
2. Step 2: Convert to fraction form
   3,638/5,564 = 5,564/x
3. Step 3: Cross multiply
   3,638x = 5,564 × 5,564
4. Step 4: Simplify right side
   3,638x = 30,958,096
5. Step 5: Solve for x
   x = 30,958,096/3,638
6. Step 6: Final answer
   x = 8,509.65