Finding the Third Proportional to 37.27 and 47.72

Step by Step Solution

1. Step 1: Write the proportion equation
   37.27 : 47.72 = 47.72 : x
2. Step 2: Convert to fraction form
   37.27/47.72 = 47.72/x
3. Step 3: Cross multiply
   37.27x = 47.72 × 47.72
4. Step 4: Simplify right side
   37.27x = 2,277.08
5. Step 5: Solve for x
   x = 2,277.08/37.27
6. Step 6: Final answer
   x = 61.10