Finding the Third Proportional to 9,016 and 13,638

Step by Step Solution

1. Step 1: Write the proportion equation
   9,016 : 13,638 = 13,638 : x
2. Step 2: Convert to fraction form
   9,016/13,638 = 13,638/x
3. Step 3: Cross multiply
   9,016x = 13,638 × 13,638
4. Step 4: Simplify right side
   9,016x = 185,995,044
5. Step 5: Solve for x
   x = 185,995,044/9,016
6. Step 6: Final answer
   x = 20,629.44