Finding the Third Proportional to 9,760 and 19,822

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760 : 19,822 = 19,822 : x
2. Step 2: Convert to fraction form
   9,760/19,822 = 19,822/x
3. Step 3: Cross multiply
   9,760x = 19,822 × 19,822
4. Step 4: Simplify right side
   9,760x = 392,911,684
5. Step 5: Solve for x
   x = 392,911,684/9,760
6. Step 6: Final answer
   x = 40,257.34