Finding the Third Proportional to 17.82 and 38.46

Step by Step Solution

1. Step 1: Write the proportion equation
   17.82 : 38.46 = 38.46 : x
2. Step 2: Convert to fraction form
   17.82/38.46 = 38.46/x
3. Step 3: Cross multiply
   17.82x = 38.46 × 38.46
4. Step 4: Simplify right side
   17.82x = 1,479.24
5. Step 5: Solve for x
   x = 1,479.24/17.82
6. Step 6: Final answer
   x = 82.99