Finding the Third Proportional to 5,638 and 12,404

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638 : 12,404 = 12,404 : x
2. Step 2: Convert to fraction form
   5,638/12,404 = 12,404/x
3. Step 3: Cross multiply
   5,638x = 12,404 × 12,404
4. Step 4: Simplify right side
   5,638x = 153,859,216
5. Step 5: Solve for x
   x = 153,859,216/5,638
6. Step 6: Final answer
   x = 27,289.68