Finding the Third Proportional to 13,824 and 17,996

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 17,996 = 17,996 : x
2. Step 2: Convert to fraction form
   13,824/17,996 = 17,996/x
3. Step 3: Cross multiply
   13,824x = 17,996 × 17,996
4. Step 4: Simplify right side
   13,824x = 323,856,016
5. Step 5: Solve for x
   x = 323,856,016/13,824
6. Step 6: Final answer
   x = 23,427.08