Finding the Third Proportional to 11,780 and 16,510

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 16,510 = 16,510 : x
2. Step 2: Convert to fraction form
   11,780/16,510 = 16,510/x
3. Step 3: Cross multiply
   11,780x = 16,510 × 16,510
4. Step 4: Simplify right side
   11,780x = 272,580,100
5. Step 5: Solve for x
   x = 272,580,100/11,780
6. Step 6: Final answer
   x = 23,139.23