Finding the Third Proportional to 21,636 and 46,648

Step by Step Solution

1. Step 1: Write the proportion equation
   21,636 : 46,648 = 46,648 : x
2. Step 2: Convert to fraction form
   21,636/46,648 = 46,648/x
3. Step 3: Cross multiply
   21,636x = 46,648 × 46,648
4. Step 4: Simplify right side
   21,636x = 2,176,035,904
5. Step 5: Solve for x
   x = 2,176,035,904/21,636
6. Step 6: Final answer
   x = 100,574.78