Finding the Third Proportional to 15.69 and 34.38

Step by Step Solution

1. Step 1: Write the proportion equation
   15.69 : 34.38 = 34.38 : x
2. Step 2: Convert to fraction form
   15.69/34.38 = 34.38/x
3. Step 3: Cross multiply
   15.69x = 34.38 × 34.38
4. Step 4: Simplify right side
   15.69x = 1,181.64
5. Step 5: Solve for x
   x = 1,181.64/15.69
6. Step 6: Final answer
   x = 75.32