Finding the Third Proportional to 15.82 and 34.49

Step by Step Solution

1. Step 1: Write the proportion equation
   15.82 : 34.49 = 34.49 : x
2. Step 2: Convert to fraction form
   15.82/34.49 = 34.49/x
3. Step 3: Cross multiply
   15.82x = 34.49 × 34.49
4. Step 4: Simplify right side
   15.82x = 1,189.44
5. Step 5: Solve for x
   x = 1,189.44/15.82
6. Step 6: Final answer
   x = 75.18