Finding the Third Proportional to 13,696 and 17,824

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 17,824 = 17,824 : x
2. Step 2: Convert to fraction form
   13,696/17,824 = 17,824/x
3. Step 3: Cross multiply
   13,696x = 17,824 × 17,824
4. Step 4: Simplify right side
   13,696x = 317,694,976
5. Step 5: Solve for x
   x = 317,694,976/13,696
6. Step 6: Final answer
   x = 23,196.19