Finding the Third Proportional to 17.72 and 38.16

Step by Step Solution

1. Step 1: Write the proportion equation
   17.72 : 38.16 = 38.16 : x
2. Step 2: Convert to fraction form
   17.72/38.16 = 38.16/x
3. Step 3: Cross multiply
   17.72x = 38.16 × 38.16
4. Step 4: Simplify right side
   17.72x = 1,455.90
5. Step 5: Solve for x
   x = 1,455.90/17.72
6. Step 6: Final answer
   x = 82.17