Finding the Third Proportional to 17,770 and 20,218

Step by Step Solution

1. Step 1: Write the proportion equation
   17,770 : 20,218 = 20,218 : x
2. Step 2: Convert to fraction form
   17,770/20,218 = 20,218/x
3. Step 3: Cross multiply
   17,770x = 20,218 × 20,218
4. Step 4: Simplify right side
   17,770x = 408,767,524
5. Step 5: Solve for x
   x = 408,767,524/17,770
6. Step 6: Final answer
   x = 23,003.24