Finding the Third Proportional to 10,780 and 16,714

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780 : 16,714 = 16,714 : x
2. Step 2: Convert to fraction form
   10,780/16,714 = 16,714/x
3. Step 3: Cross multiply
   10,780x = 16,714 × 16,714
4. Step 4: Simplify right side
   10,780x = 279,357,796
5. Step 5: Solve for x
   x = 279,357,796/10,780
6. Step 6: Final answer
   x = 25,914.45