Finding the Third Proportional to 21,084 and 33,570

Step by Step Solution

1. Step 1: Write the proportion equation
   21,084 : 33,570 = 33,570 : x
2. Step 2: Convert to fraction form
   21,084/33,570 = 33,570/x
3. Step 3: Cross multiply
   21,084x = 33,570 × 33,570
4. Step 4: Simplify right side
   21,084x = 1,126,944,900
5. Step 5: Solve for x
   x = 1,126,944,900/21,084
6. Step 6: Final answer
   x = 53,450.24