Finding the Third Proportional to 10,005 and 21,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 21,648 = 21,648 : x
2. Step 2: Convert to fraction form
   10,005/21,648 = 21,648/x
3. Step 3: Cross multiply
   10,005x = 21,648 × 21,648
4. Step 4: Simplify right side
   10,005x = 468,635,904
5. Step 5: Solve for x
   x = 468,635,904/10,005
6. Step 6: Final answer
   x = 46,840.17