Finding the Third Proportional to 10,824 and 13,192

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 13,192 = 13,192 : x
2. Step 2: Convert to fraction form
   10,824/13,192 = 13,192/x
3. Step 3: Cross multiply
   10,824x = 13,192 × 13,192
4. Step 4: Simplify right side
   10,824x = 174,028,864
5. Step 5: Solve for x
   x = 174,028,864/10,824
6. Step 6: Final answer
   x = 16,078.05