Finding the Third Proportional to 23,664 and 33,636

Step by Step Solution

1. Step 1: Write the proportion equation
   23,664 : 33,636 = 33,636 : x
2. Step 2: Convert to fraction form
   23,664/33,636 = 33,636/x
3. Step 3: Cross multiply
   23,664x = 33,636 × 33,636
4. Step 4: Simplify right side
   23,664x = 1,131,380,496
5. Step 5: Solve for x
   x = 1,131,380,496/23,664
6. Step 6: Final answer
   x = 47,810.20