Finding the Third Proportional to 10,746 and 13,626

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 13,626 = 13,626 : x
2. Step 2: Convert to fraction form
   10,746/13,626 = 13,626/x
3. Step 3: Cross multiply
   10,746x = 13,626 × 13,626
4. Step 4: Simplify right side
   10,746x = 185,667,876
5. Step 5: Solve for x
   x = 185,667,876/10,746
6. Step 6: Final answer
   x = 17,277.86