Finding the Third Proportional to 11.50 and 27.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 27.50 = 27.50 : x
2. Step 2: Convert to fraction form
   11.50/27.50 = 27.50/x
3. Step 3: Cross multiply
   11.50x = 27.50 × 27.50
4. Step 4: Simplify right side
   11.50x = 756.25
5. Step 5: Solve for x
   x = 756.25/11.50
6. Step 6: Final answer
   x = 65.76