Finding the Third Proportional to 8,384 and 12,992

Step by Step Solution

1. Step 1: Write the proportion equation
   8,384 : 12,992 = 12,992 : x
2. Step 2: Convert to fraction form
   8,384/12,992 = 12,992/x
3. Step 3: Cross multiply
   8,384x = 12,992 × 12,992
4. Step 4: Simplify right side
   8,384x = 168,792,064
5. Step 5: Solve for x
   x = 168,792,064/8,384
6. Step 6: Final answer
   x = 20,132.64