Finding the Third Proportional to 11,780 and 16,818

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 16,818 = 16,818 : x
2. Step 2: Convert to fraction form
   11,780/16,818 = 16,818/x
3. Step 3: Cross multiply
   11,780x = 16,818 × 16,818
4. Step 4: Simplify right side
   11,780x = 282,845,124
5. Step 5: Solve for x
   x = 282,845,124/11,780
6. Step 6: Final answer
   x = 24,010.62