Finding the Third Proportional to 5,638 and 10,016

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638 : 10,016 = 10,016 : x
2. Step 2: Convert to fraction form
   5,638/10,016 = 10,016/x
3. Step 3: Cross multiply
   5,638x = 10,016 × 10,016
4. Step 4: Simplify right side
   5,638x = 100,320,256
5. Step 5: Solve for x
   x = 100,320,256/5,638
6. Step 6: Final answer
   x = 17,793.59