Finding the Third Proportional to 9,256 and 18,856

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256 : 18,856 = 18,856 : x
2. Step 2: Convert to fraction form
   9,256/18,856 = 18,856/x
3. Step 3: Cross multiply
   9,256x = 18,856 × 18,856
4. Step 4: Simplify right side
   9,256x = 355,548,736
5. Step 5: Solve for x
   x = 355,548,736/9,256
6. Step 6: Final answer
   x = 38,412.78