Finding the Third Proportional to 6,678 and 10,406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,678 : 10,406.25 = 10,406.25 : x
2. Step 2: Convert to fraction form
   6,678/10,406.25 = 10,406.25/x
3. Step 3: Cross multiply
   6,678x = 10,406.25 × 10,406.25
4. Step 4: Simplify right side
   6,678x = 108,290,039.06
5. Step 5: Solve for x
   x = 108,290,039.06/6,678
6. Step 6: Final answer
   x = 16,215.94