Finding the Third Proportional to 13.50 and 31.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 31.50 = 31.50 : x
2. Step 2: Convert to fraction form
   13.50/31.50 = 31.50/x
3. Step 3: Cross multiply
   13.50x = 31.50 × 31.50
4. Step 4: Simplify right side
   13.50x = 992.25
5. Step 5: Solve for x
   x = 992.25/13.50
6. Step 6: Final answer
   x = 73.50