Finding the Third Proportional to 6,878.50 and 10,678

Step by Step Solution

1. Step 1: Write the proportion equation
   6,878.50 : 10,678 = 10,678 : x
2. Step 2: Convert to fraction form
   6,878.50/10,678 = 10,678/x
3. Step 3: Cross multiply
   6,878.50x = 10,678 × 10,678
4. Step 4: Simplify right side
   6,878.50x = 114,019,684
5. Step 5: Solve for x
   x = 114,019,684/6,878.50
6. Step 6: Final answer
   x = 16,576.24