Finding the Third Proportional to 19.69 and 41.34

Step by Step Solution

1. Step 1: Write the proportion equation
   19.69 : 41.34 = 41.34 : x
2. Step 2: Convert to fraction form
   19.69/41.34 = 41.34/x
3. Step 3: Cross multiply
   19.69x = 41.34 × 41.34
4. Step 4: Simplify right side
   19.69x = 1,709.31
5. Step 5: Solve for x
   x = 1,709.31/19.69
6. Step 6: Final answer
   x = 86.82