Finding the Third Proportional to 6,800 and 12,748

Step by Step Solution

1. Step 1: Write the proportion equation
   6,800 : 12,748 = 12,748 : x
2. Step 2: Convert to fraction form
   6,800/12,748 = 12,748/x
3. Step 3: Cross multiply
   6,800x = 12,748 × 12,748
4. Step 4: Simplify right side
   6,800x = 162,511,504
5. Step 5: Solve for x
   x = 162,511,504/6,800
6. Step 6: Final answer
   x = 23,898.75