Finding the Third Proportional to 19.78 and 43.41

Step by Step Solution

1. Step 1: Write the proportion equation
   19.78 : 43.41 = 43.41 : x
2. Step 2: Convert to fraction form
   19.78/43.41 = 43.41/x
3. Step 3: Cross multiply
   19.78x = 43.41 × 43.41
4. Step 4: Simplify right side
   19.78x = 1,884.10
5. Step 5: Solve for x
   x = 1,884.10/19.78
6. Step 6: Final answer
   x = 95.25