Finding the Third Proportional to 17,792 and 27,766

Step by Step Solution

1. Step 1: Write the proportion equation
   17,792 : 27,766 = 27,766 : x
2. Step 2: Convert to fraction form
   17,792/27,766 = 27,766/x
3. Step 3: Cross multiply
   17,792x = 27,766 × 27,766
4. Step 4: Simplify right side
   17,792x = 770,950,756
5. Step 5: Solve for x
   x = 770,950,756/17,792
6. Step 6: Final answer
   x = 43,331.31