Finding the Third Proportional to 23,002 and 33,504

Step by Step Solution

1. Step 1: Write the proportion equation
   23,002 : 33,504 = 33,504 : x
2. Step 2: Convert to fraction form
   23,002/33,504 = 33,504/x
3. Step 3: Cross multiply
   23,002x = 33,504 × 33,504
4. Step 4: Simplify right side
   23,002x = 1,122,518,016
5. Step 5: Solve for x
   x = 1,122,518,016/23,002
6. Step 6: Final answer
   x = 48,800.89