Finding the Third Proportional to 17.32 and 37.73

Step by Step Solution

1. Step 1: Write the proportion equation
   17.32 : 37.73 = 37.73 : x
2. Step 2: Convert to fraction form
   17.32/37.73 = 37.73/x
3. Step 3: Cross multiply
   17.32x = 37.73 × 37.73
4. Step 4: Simplify right side
   17.32x = 1,423.66
5. Step 5: Solve for x
   x = 1,423.66/17.32
6. Step 6: Final answer
   x = 82.18