Finding the Third Proportional to 17.38 and 37.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17.38 : 37.38 = 37.38 : x
2. Step 2: Convert to fraction form
   17.38/37.38 = 37.38/x
3. Step 3: Cross multiply
   17.38x = 37.38 × 37.38
4. Step 4: Simplify right side
   17.38x = 1,396.89
5. Step 5: Solve for x
   x = 1,396.89/17.38
6. Step 6: Final answer
   x = 80.40