Finding the Third Proportional to 10,824 and 13,724

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 13,724 = 13,724 : x
2. Step 2: Convert to fraction form
   10,824/13,724 = 13,724/x
3. Step 3: Cross multiply
   10,824x = 13,724 × 13,724
4. Step 4: Simplify right side
   10,824x = 188,348,176
5. Step 5: Solve for x
   x = 188,348,176/10,824
6. Step 6: Final answer
   x = 17,400.98