Finding the Third Proportional to 17.67 and 38.72

Step by Step Solution

1. Step 1: Write the proportion equation
   17.67 : 38.72 = 38.72 : x
2. Step 2: Convert to fraction form
   17.67/38.72 = 38.72/x
3. Step 3: Cross multiply
   17.67x = 38.72 × 38.72
4. Step 4: Simplify right side
   17.67x = 1,499.14
5. Step 5: Solve for x
   x = 1,499.14/17.67
6. Step 6: Final answer
   x = 84.83