Finding the Third Proportional to 11,749 and 16,111

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749 : 16,111 = 16,111 : x
2. Step 2: Convert to fraction form
   11,749/16,111 = 16,111/x
3. Step 3: Cross multiply
   11,749x = 16,111 × 16,111
4. Step 4: Simplify right side
   11,749x = 259,564,321
5. Step 5: Solve for x
   x = 259,564,321/11,749
6. Step 6: Final answer
   x = 22,092.46