Finding the Third Proportional to 4,663 and 10,016

Step by Step Solution

1. Step 1: Write the proportion equation
   4,663 : 10,016 = 10,016 : x
2. Step 2: Convert to fraction form
   4,663/10,016 = 10,016/x
3. Step 3: Cross multiply
   4,663x = 10,016 × 10,016
4. Step 4: Simplify right side
   4,663x = 100,320,256
5. Step 5: Solve for x
   x = 100,320,256/4,663
6. Step 6: Final answer
   x = 21,514.10