Finding the Third Proportional to 17.37 and 37.83

Step by Step Solution

1. Step 1: Write the proportion equation
   17.37 : 37.83 = 37.83 : x
2. Step 2: Convert to fraction form
   17.37/37.83 = 37.83/x
3. Step 3: Cross multiply
   17.37x = 37.83 × 37.83
4. Step 4: Simplify right side
   17.37x = 1,430.97
5. Step 5: Solve for x
   x = 1,430.97/17.37
6. Step 6: Final answer
   x = 82.39