Finding the Third Proportional to 31.50 and 65.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 65.25 = 65.25 : x
2. Step 2: Convert to fraction form
   31.50/65.25 = 65.25/x
3. Step 3: Cross multiply
   31.50x = 65.25 × 65.25
4. Step 4: Simplify right side
   31.50x = 4,257.56
5. Step 5: Solve for x
   x = 4,257.56/31.50
6. Step 6: Final answer
   x = 135.16