Finding the Third Proportional to 11,546 and 23,626

Step by Step Solution

1. Step 1: Write the proportion equation
   11,546 : 23,626 = 23,626 : x
2. Step 2: Convert to fraction form
   11,546/23,626 = 23,626/x
3. Step 3: Cross multiply
   11,546x = 23,626 × 23,626
4. Step 4: Simplify right side
   11,546x = 558,187,876
5. Step 5: Solve for x
   x = 558,187,876/11,546
6. Step 6: Final answer
   x = 48,344.70