Finding the Third Proportional to 11,976 and 16,111

Step by Step Solution

1. Step 1: Write the proportion equation
   11,976 : 16,111 = 16,111 : x
2. Step 2: Convert to fraction form
   11,976/16,111 = 16,111/x
3. Step 3: Cross multiply
   11,976x = 16,111 × 16,111
4. Step 4: Simplify right side
   11,976x = 259,564,321
5. Step 5: Solve for x
   x = 259,564,321/11,976
6. Step 6: Final answer
   x = 21,673.71