Finding the Third Proportional to 19.69 and 33.05

Step by Step Solution

1. Step 1: Write the proportion equation
   19.69 : 33.05 = 33.05 : x
2. Step 2: Convert to fraction form
   19.69/33.05 = 33.05/x
3. Step 3: Cross multiply
   19.69x = 33.05 × 33.05
4. Step 4: Simplify right side
   19.69x = 1,092.10
5. Step 5: Solve for x
   x = 1,092.10/19.69
6. Step 6: Final answer
   x = 55.47