Finding the Third Proportional to 11,776 and 16,042

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 16,042 = 16,042 : x
2. Step 2: Convert to fraction form
   11,776/16,042 = 16,042/x
3. Step 3: Cross multiply
   11,776x = 16,042 × 16,042
4. Step 4: Simplify right side
   11,776x = 257,345,764
5. Step 5: Solve for x
   x = 257,345,764/11,776
6. Step 6: Final answer
   x = 21,853.41