Finding the Third Proportional to 19,780 and 41,768

Step by Step Solution

1. Step 1: Write the proportion equation
   19,780 : 41,768 = 41,768 : x
2. Step 2: Convert to fraction form
   19,780/41,768 = 41,768/x
3. Step 3: Cross multiply
   19,780x = 41,768 × 41,768
4. Step 4: Simplify right side
   19,780x = 1,744,565,824
5. Step 5: Solve for x
   x = 1,744,565,824/19,780
6. Step 6: Final answer
   x = 88,198.47