Finding the Third Proportional to 8,138 and 10,824

Step by Step Solution

1. Step 1: Write the proportion equation
   8,138 : 10,824 = 10,824 : x
2. Step 2: Convert to fraction form
   8,138/10,824 = 10,824/x
3. Step 3: Cross multiply
   8,138x = 10,824 × 10,824
4. Step 4: Simplify right side
   8,138x = 117,158,976
5. Step 5: Solve for x
   x = 117,158,976/8,138
6. Step 6: Final answer
   x = 14,396.53