Finding the Third Proportional to 19,200 and 41,766

Step by Step Solution

1. Step 1: Write the proportion equation
   19,200 : 41,766 = 41,766 : x
2. Step 2: Convert to fraction form
   19,200/41,766 = 41,766/x
3. Step 3: Cross multiply
   19,200x = 41,766 × 41,766
4. Step 4: Simplify right side
   19,200x = 1,744,398,756
5. Step 5: Solve for x
   x = 1,744,398,756/19,200
6. Step 6: Final answer
   x = 90,854.10