Finding the Third Proportional to 37.50 and 39.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 39.94 = 39.94 : x
2. Step 2: Convert to fraction form
   37.50/39.94 = 39.94/x
3. Step 3: Cross multiply
   37.50x = 39.94 × 39.94
4. Step 4: Simplify right side
   37.50x = 1,595.00
5. Step 5: Solve for x
   x = 1,595.00/37.50
6. Step 6: Final answer
   x = 42.53