Finding the Third Proportional to 13.71 and 37.71

Step by Step Solution

1. Step 1: Write the proportion equation
   13.71 : 37.71 = 37.71 : x
2. Step 2: Convert to fraction form
   13.71/37.71 = 37.71/x
3. Step 3: Cross multiply
   13.71x = 37.71 × 37.71
4. Step 4: Simplify right side
   13.71x = 1,422.06
5. Step 5: Solve for x
   x = 1,422.06/13.71
6. Step 6: Final answer
   x = 103.70