Finding the Third Proportional to 6,786 and 10,635

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786 : 10,635 = 10,635 : x
2. Step 2: Convert to fraction form
   6,786/10,635 = 10,635/x
3. Step 3: Cross multiply
   6,786x = 10,635 × 10,635
4. Step 4: Simplify right side
   6,786x = 113,103,225
5. Step 5: Solve for x
   x = 113,103,225/6,786
6. Step 6: Final answer
   x = 16,667.14