Finding the Third Proportional to 11,164 and 24,016

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 24,016 = 24,016 : x
2. Step 2: Convert to fraction form
   11,164/24,016 = 24,016/x
3. Step 3: Cross multiply
   11,164x = 24,016 × 24,016
4. Step 4: Simplify right side
   11,164x = 576,768,256
5. Step 5: Solve for x
   x = 576,768,256/11,164
6. Step 6: Final answer
   x = 51,663.23