Finding the Third Proportional to 34.03 and 37.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34.03 : 37.69 = 37.69 : x
2. Step 2: Convert to fraction form
   34.03/37.69 = 37.69/x
3. Step 3: Cross multiply
   34.03x = 37.69 × 37.69
4. Step 4: Simplify right side
   34.03x = 1,420.35
5. Step 5: Solve for x
   x = 1,420.35/34.03
6. Step 6: Final answer
   x = 41.74