Finding the Third Proportional to 17.82 and 42.03

Step by Step Solution

1. Step 1: Write the proportion equation
   17.82 : 42.03 = 42.03 : x
2. Step 2: Convert to fraction form
   17.82/42.03 = 42.03/x
3. Step 3: Cross multiply
   17.82x = 42.03 × 42.03
4. Step 4: Simplify right side
   17.82x = 1,766.46
5. Step 5: Solve for x
   x = 1,766.46/17.82
6. Step 6: Final answer
   x = 99.10