Finding the Third Proportional to 37.10 and 39.95

Step by Step Solution

1. Step 1: Write the proportion equation
   37.10 : 39.95 = 39.95 : x
2. Step 2: Convert to fraction form
   37.10/39.95 = 39.95/x
3. Step 3: Cross multiply
   37.10x = 39.95 × 39.95
4. Step 4: Simplify right side
   37.10x = 1,596.04
5. Step 5: Solve for x
   x = 1,596.04/37.10
6. Step 6: Final answer
   x = 43.02