Finding the Third Proportional to 11,646 and 22,016

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646 : 22,016 = 22,016 : x
2. Step 2: Convert to fraction form
   11,646/22,016 = 22,016/x
3. Step 3: Cross multiply
   11,646x = 22,016 × 22,016
4. Step 4: Simplify right side
   11,646x = 484,704,256
5. Step 5: Solve for x
   x = 484,704,256/11,646
6. Step 6: Final answer
   x = 41,619.81