Finding the Third Proportional to 11,857 and 16,077

Step by Step Solution

1. Step 1: Write the proportion equation
   11,857 : 16,077 = 16,077 : x
2. Step 2: Convert to fraction form
   11,857/16,077 = 16,077/x
3. Step 3: Cross multiply
   11,857x = 16,077 × 16,077
4. Step 4: Simplify right side
   11,857x = 258,469,929
5. Step 5: Solve for x
   x = 258,469,929/11,857
6. Step 6: Final answer
   x = 21,798.93