Finding the Third Proportional to 13,824 and 22,016

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 22,016 = 22,016 : x
2. Step 2: Convert to fraction form
   13,824/22,016 = 22,016/x
3. Step 3: Cross multiply
   13,824x = 22,016 × 22,016
4. Step 4: Simplify right side
   13,824x = 484,704,256
5. Step 5: Solve for x
   x = 484,704,256/13,824
6. Step 6: Final answer
   x = 35,062.52