Finding the Third Proportional to 19.75 and 38.69

Step by Step Solution

1. Step 1: Write the proportion equation
   19.75 : 38.69 = 38.69 : x
2. Step 2: Convert to fraction form
   19.75/38.69 = 38.69/x
3. Step 3: Cross multiply
   19.75x = 38.69 × 38.69
4. Step 4: Simplify right side
   19.75x = 1,496.72
5. Step 5: Solve for x
   x = 1,496.72/19.75
6. Step 6: Final answer
   x = 75.78