Finding the Third Proportional to 5,626 and 10,766

Step by Step Solution

1. Step 1: Write the proportion equation
   5,626 : 10,766 = 10,766 : x
2. Step 2: Convert to fraction form
   5,626/10,766 = 10,766/x
3. Step 3: Cross multiply
   5,626x = 10,766 × 10,766
4. Step 4: Simplify right side
   5,626x = 115,906,756
5. Step 5: Solve for x
   x = 115,906,756/5,626
6. Step 6: Final answer
   x = 20,601.98