Finding the Third Proportional to 11.75 and 31.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.75 : 31.50 = 31.50 : x
2. Step 2: Convert to fraction form
   11.75/31.50 = 31.50/x
3. Step 3: Cross multiply
   11.75x = 31.50 × 31.50
4. Step 4: Simplify right side
   11.75x = 992.25
5. Step 5: Solve for x
   x = 992.25/11.75
6. Step 6: Final answer
   x = 84.45