Finding the Third Proportional to 9,824 and 13,996

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824 : 13,996 = 13,996 : x
2. Step 2: Convert to fraction form
   9,824/13,996 = 13,996/x
3. Step 3: Cross multiply
   9,824x = 13,996 × 13,996
4. Step 4: Simplify right side
   9,824x = 195,888,016
5. Step 5: Solve for x
   x = 195,888,016/9,824
6. Step 6: Final answer
   x = 19,939.74