Finding the Third Proportional to 13,824 and 21,996

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 21,996 = 21,996 : x
2. Step 2: Convert to fraction form
   13,824/21,996 = 21,996/x
3. Step 3: Cross multiply
   13,824x = 21,996 × 21,996
4. Step 4: Simplify right side
   13,824x = 483,824,016
5. Step 5: Solve for x
   x = 483,824,016/13,824
6. Step 6: Final answer
   x = 34,998.84