Finding the Third Proportional to 15.74 and 34.25

Step by Step Solution

1. Step 1: Write the proportion equation
   15.74 : 34.25 = 34.25 : x
2. Step 2: Convert to fraction form
   15.74/34.25 = 34.25/x
3. Step 3: Cross multiply
   15.74x = 34.25 × 34.25
4. Step 4: Simplify right side
   15.74x = 1,173.30
5. Step 5: Solve for x
   x = 1,173.30/15.74
6. Step 6: Final answer
   x = 74.55