Finding the Third Proportional to 9,764 and 19,834

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764 : 19,834 = 19,834 : x
2. Step 2: Convert to fraction form
   9,764/19,834 = 19,834/x
3. Step 3: Cross multiply
   9,764x = 19,834 × 19,834
4. Step 4: Simplify right side
   9,764x = 393,387,556
5. Step 5: Solve for x
   x = 393,387,556/9,764
6. Step 6: Final answer
   x = 40,289.59