Finding the Third Proportional to 30.50 and 35.88

Step by Step Solution

1. Step 1: Write the proportion equation
   30.50 : 35.88 = 35.88 : x
2. Step 2: Convert to fraction form
   30.50/35.88 = 35.88/x
3. Step 3: Cross multiply
   30.50x = 35.88 × 35.88
4. Step 4: Simplify right side
   30.50x = 1,287.02
5. Step 5: Solve for x
   x = 1,287.02/30.50
6. Step 6: Final answer
   x = 42.20