Finding the Third Proportional to 17.50 and 42.44

Step by Step Solution

1. Step 1: Write the proportion equation
   17.50 : 42.44 = 42.44 : x
2. Step 2: Convert to fraction form
   17.50/42.44 = 42.44/x
3. Step 3: Cross multiply
   17.50x = 42.44 × 42.44
4. Step 4: Simplify right side
   17.50x = 1,800.94
5. Step 5: Solve for x
   x = 1,800.94/17.50
6. Step 6: Final answer
   x = 102.91