Finding the Third Proportional to 11.56 and 28.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11.56 : 28.25 = 28.25 : x
2. Step 2: Convert to fraction form
   11.56/28.25 = 28.25/x
3. Step 3: Cross multiply
   11.56x = 28.25 × 28.25
4. Step 4: Simplify right side
   11.56x = 798.06
5. Step 5: Solve for x
   x = 798.06/11.56
6. Step 6: Final answer
   x = 69.02