Finding the Third Proportional to 9,514 and 12,626

Step by Step Solution

1. Step 1: Write the proportion equation
   9,514 : 12,626 = 12,626 : x
2. Step 2: Convert to fraction form
   9,514/12,626 = 12,626/x
3. Step 3: Cross multiply
   9,514x = 12,626 × 12,626
4. Step 4: Simplify right side
   9,514x = 159,415,876
5. Step 5: Solve for x
   x = 159,415,876/9,514
6. Step 6: Final answer
   x = 16,755.93