Finding the Third Proportional to 37.50 and 38.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 38.63 = 38.63 : x
2. Step 2: Convert to fraction form
   37.50/38.63 = 38.63/x
3. Step 3: Cross multiply
   37.50x = 38.63 × 38.63
4. Step 4: Simplify right side
   37.50x = 1,491.89
5. Step 5: Solve for x
   x = 1,491.89/37.50
6. Step 6: Final answer
   x = 39.78