Finding the Third Proportional to 7,776 and 12,843

Step by Step Solution

1. Step 1: Write the proportion equation
   7,776 : 12,843 = 12,843 : x
2. Step 2: Convert to fraction form
   7,776/12,843 = 12,843/x
3. Step 3: Cross multiply
   7,776x = 12,843 × 12,843
4. Step 4: Simplify right side
   7,776x = 164,942,649
5. Step 5: Solve for x
   x = 164,942,649/7,776
6. Step 6: Final answer
   x = 21,211.76