Finding the Third Proportional to 6,747 and 12,846

Step by Step Solution

1. Step 1: Write the proportion equation
   6,747 : 12,846 = 12,846 : x
2. Step 2: Convert to fraction form
   6,747/12,846 = 12,846/x
3. Step 3: Cross multiply
   6,747x = 12,846 × 12,846
4. Step 4: Simplify right side
   6,747x = 165,019,716
5. Step 5: Solve for x
   x = 165,019,716/6,747
6. Step 6: Final answer
   x = 24,458.24