Finding the Third Proportional to 8,128 and 12,824

Step by Step Solution

1. Step 1: Write the proportion equation
   8,128 : 12,824 = 12,824 : x
2. Step 2: Convert to fraction form
   8,128/12,824 = 12,824/x
3. Step 3: Cross multiply
   8,128x = 12,824 × 12,824
4. Step 4: Simplify right side
   8,128x = 164,454,976
5. Step 5: Solve for x
   x = 164,454,976/8,128
6. Step 6: Final answer
   x = 20,233.14