Finding the Third Proportional to 9,834 and 19,398

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834 : 19,398 = 19,398 : x
2. Step 2: Convert to fraction form
   9,834/19,398 = 19,398/x
3. Step 3: Cross multiply
   9,834x = 19,398 × 19,398
4. Step 4: Simplify right side
   9,834x = 376,282,404
5. Step 5: Solve for x
   x = 376,282,404/9,834
6. Step 6: Final answer
   x = 38,263.41