Finding the Third Proportional to 17.17 and 37.82

Step by Step Solution

1. Step 1: Write the proportion equation
   17.17 : 37.82 = 37.82 : x
2. Step 2: Convert to fraction form
   17.17/37.82 = 37.82/x
3. Step 3: Cross multiply
   17.17x = 37.82 × 37.82
4. Step 4: Simplify right side
   17.17x = 1,430.39
5. Step 5: Solve for x
   x = 1,430.39/17.17
6. Step 6: Final answer
   x = 83.28