Finding the Third Proportional to 6,915 and 10,678

Step by Step Solution

1. Step 1: Write the proportion equation
   6,915 : 10,678 = 10,678 : x
2. Step 2: Convert to fraction form
   6,915/10,678 = 10,678/x
3. Step 3: Cross multiply
   6,915x = 10,678 × 10,678
4. Step 4: Simplify right side
   6,915x = 114,019,684
5. Step 5: Solve for x
   x = 114,019,684/6,915
6. Step 6: Final answer
   x = 16,488.75