Finding the Third Proportional to 21,758 and 33,502

Step by Step Solution

1. Step 1: Write the proportion equation
   21,758 : 33,502 = 33,502 : x
2. Step 2: Convert to fraction form
   21,758/33,502 = 33,502/x
3. Step 3: Cross multiply
   21,758x = 33,502 × 33,502
4. Step 4: Simplify right side
   21,758x = 1,122,384,004
5. Step 5: Solve for x
   x = 1,122,384,004/21,758
6. Step 6: Final answer
   x = 51,584.89