Finding the Third Proportional to 35.38 and 38.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35.38 : 38.50 = 38.50 : x
2. Step 2: Convert to fraction form
   35.38/38.50 = 38.50/x
3. Step 3: Cross multiply
   35.38x = 38.50 × 38.50
4. Step 4: Simplify right side
   35.38x = 1,482.25
5. Step 5: Solve for x
   x = 1,482.25/35.38
6. Step 6: Final answer
   x = 41.90