Finding the Third Proportional to 20,770 and 33,019

Step by Step Solution

1. Step 1: Write the proportion equation
   20,770 : 33,019 = 33,019 : x
2. Step 2: Convert to fraction form
   20,770/33,019 = 33,019/x
3. Step 3: Cross multiply
   20,770x = 33,019 × 33,019
4. Step 4: Simplify right side
   20,770x = 1,090,254,361
5. Step 5: Solve for x
   x = 1,090,254,361/20,770
6. Step 6: Final answer
   x = 52,491.78