Finding the Third Proportional to 17.56 and 37.71

Step by Step Solution

1. Step 1: Write the proportion equation
   17.56 : 37.71 = 37.71 : x
2. Step 2: Convert to fraction form
   17.56/37.71 = 37.71/x
3. Step 3: Cross multiply
   17.56x = 37.71 × 37.71
4. Step 4: Simplify right side
   17.56x = 1,422.15
5. Step 5: Solve for x
   x = 1,422.15/17.56
6. Step 6: Final answer
   x = 81.01