Finding the Third Proportional to 13,824 and 19,496

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 19,496 = 19,496 : x
2. Step 2: Convert to fraction form
   13,824/19,496 = 19,496/x
3. Step 3: Cross multiply
   13,824x = 19,496 × 19,496
4. Step 4: Simplify right side
   13,824x = 380,094,016
5. Step 5: Solve for x
   x = 380,094,016/13,824
6. Step 6: Final answer
   x = 27,495.23