Finding the Third Proportional to 6,906 and 10,766

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 10,766 = 10,766 : x
2. Step 2: Convert to fraction form
   6,906/10,766 = 10,766/x
3. Step 3: Cross multiply
   6,906x = 10,766 × 10,766
4. Step 4: Simplify right side
   6,906x = 115,906,756
5. Step 5: Solve for x
   x = 115,906,756/6,906
6. Step 6: Final answer
   x = 16,783.49