Finding the Third Proportional to 32.25 and 35.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32.25 : 35.25 = 35.25 : x
2. Step 2: Convert to fraction form
   32.25/35.25 = 35.25/x
3. Step 3: Cross multiply
   32.25x = 35.25 × 35.25
4. Step 4: Simplify right side
   32.25x = 1,242.56
5. Step 5: Solve for x
   x = 1,242.56/32.25
6. Step 6: Final answer
   x = 38.53