Finding the Third Proportional to 23,764 and 33,223

Step by Step Solution

1. Step 1: Write the proportion equation
   23,764 : 33,223 = 33,223 : x
2. Step 2: Convert to fraction form
   23,764/33,223 = 33,223/x
3. Step 3: Cross multiply
   23,764x = 33,223 × 33,223
4. Step 4: Simplify right side
   23,764x = 1,103,767,729
5. Step 5: Solve for x
   x = 1,103,767,729/23,764
6. Step 6: Final answer
   x = 46,447.05