Finding the Third Proportional to 9,256 and 19,894

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256 : 19,894 = 19,894 : x
2. Step 2: Convert to fraction form
   9,256/19,894 = 19,894/x
3. Step 3: Cross multiply
   9,256x = 19,894 × 19,894
4. Step 4: Simplify right side
   9,256x = 395,771,236
5. Step 5: Solve for x
   x = 395,771,236/9,256
6. Step 6: Final answer
   x = 42,758.34