Finding the Third Proportional to 17.38 and 37.55

Step by Step Solution

1. Step 1: Write the proportion equation
   17.38 : 37.55 = 37.55 : x
2. Step 2: Convert to fraction form
   17.38/37.55 = 37.55/x
3. Step 3: Cross multiply
   17.38x = 37.55 × 37.55
4. Step 4: Simplify right side
   17.38x = 1,410.26
5. Step 5: Solve for x
   x = 1,410.26/17.38
6. Step 6: Final answer
   x = 81.13