Finding the Third Proportional to 13,096 and 16,780

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 16,780 = 16,780 : x
2. Step 2: Convert to fraction form
   13,096/16,780 = 16,780/x
3. Step 3: Cross multiply
   13,096x = 16,780 × 16,780
4. Step 4: Simplify right side
   13,096x = 281,568,400
5. Step 5: Solve for x
   x = 281,568,400/13,096
6. Step 6: Final answer
   x = 21,500.34