Finding the Third Proportional to 6,920 and 12,816

Step by Step Solution

1. Step 1: Write the proportion equation
   6,920 : 12,816 = 12,816 : x
2. Step 2: Convert to fraction form
   6,920/12,816 = 12,816/x
3. Step 3: Cross multiply
   6,920x = 12,816 × 12,816
4. Step 4: Simplify right side
   6,920x = 164,249,856
5. Step 5: Solve for x
   x = 164,249,856/6,920
6. Step 6: Final answer
   x = 23,735.53