Finding the Third Proportional to 9,200 and 19,856

Step by Step Solution

1. Step 1: Write the proportion equation
   9,200 : 19,856 = 19,856 : x
2. Step 2: Convert to fraction form
   9,200/19,856 = 19,856/x
3. Step 3: Cross multiply
   9,200x = 19,856 × 19,856
4. Step 4: Simplify right side
   9,200x = 394,260,736
5. Step 5: Solve for x
   x = 394,260,736/9,200
6. Step 6: Final answer
   x = 42,854.43