Finding the Third Proportional to 10,004 and 20,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 20,648 = 20,648 : x
2. Step 2: Convert to fraction form
   10,004/20,648 = 20,648/x
3. Step 3: Cross multiply
   10,004x = 20,648 × 20,648
4. Step 4: Simplify right side
   10,004x = 426,339,904
5. Step 5: Solve for x
   x = 426,339,904/10,004
6. Step 6: Final answer
   x = 42,616.94