Finding the Third Proportional to 9,784 and 20,648

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784 : 20,648 = 20,648 : x
2. Step 2: Convert to fraction form
   9,784/20,648 = 20,648/x
3. Step 3: Cross multiply
   9,784x = 20,648 × 20,648
4. Step 4: Simplify right side
   9,784x = 426,339,904
5. Step 5: Solve for x
   x = 426,339,904/9,784
6. Step 6: Final answer
   x = 43,575.22