Finding the Third Proportional to 9,874 and 19,256

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874 : 19,256 = 19,256 : x
2. Step 2: Convert to fraction form
   9,874/19,256 = 19,256/x
3. Step 3: Cross multiply
   9,874x = 19,256 × 19,256
4. Step 4: Simplify right side
   9,874x = 370,793,536
5. Step 5: Solve for x
   x = 370,793,536/9,874
6. Step 6: Final answer
   x = 37,552.52