Finding the Third Proportional to 10,580 and 16,780

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580 : 16,780 = 16,780 : x
2. Step 2: Convert to fraction form
   10,580/16,780 = 16,780/x
3. Step 3: Cross multiply
   10,580x = 16,780 × 16,780
4. Step 4: Simplify right side
   10,580x = 281,568,400
5. Step 5: Solve for x
   x = 281,568,400/10,580
6. Step 6: Final answer
   x = 26,613.27