Finding the Third Proportional to 35.50 and 42.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35.50 : 42.38 = 42.38 : x
2. Step 2: Convert to fraction form
   35.50/42.38 = 42.38/x
3. Step 3: Cross multiply
   35.50x = 42.38 × 42.38
4. Step 4: Simplify right side
   35.50x = 1,795.64
5. Step 5: Solve for x
   x = 1,795.64/35.50
6. Step 6: Final answer
   x = 50.58