Finding the Third Proportional to 11,626 and 23,869

Step by Step Solution

1. Step 1: Write the proportion equation
   11,626 : 23,869 = 23,869 : x
2. Step 2: Convert to fraction form
   11,626/23,869 = 23,869/x
3. Step 3: Cross multiply
   11,626x = 23,869 × 23,869
4. Step 4: Simplify right side
   11,626x = 569,729,161
5. Step 5: Solve for x
   x = 569,729,161/11,626
6. Step 6: Final answer
   x = 49,004.74