Finding the Third Proportional to 7,746 and 12,843

Step by Step Solution

1. Step 1: Write the proportion equation
   7,746 : 12,843 = 12,843 : x
2. Step 2: Convert to fraction form
   7,746/12,843 = 12,843/x
3. Step 3: Cross multiply
   7,746x = 12,843 × 12,843
4. Step 4: Simplify right side
   7,746x = 164,942,649
5. Step 5: Solve for x
   x = 164,942,649/7,746
6. Step 6: Final answer
   x = 21,293.91