Finding the Third Proportional to 6,831 and 16,095

Step by Step Solution

1. Step 1: Write the proportion equation
   6,831 : 16,095 = 16,095 : x
2. Step 2: Convert to fraction form
   6,831/16,095 = 16,095/x
3. Step 3: Cross multiply
   6,831x = 16,095 × 16,095
4. Step 4: Simplify right side
   6,831x = 259,049,025
5. Step 5: Solve for x
   x = 259,049,025/6,831
6. Step 6: Final answer
   x = 37,922.56