Finding the Third Proportional to 11.75 and 23.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11.75 : 23.69 = 23.69 : x
2. Step 2: Convert to fraction form
   11.75/23.69 = 23.69/x
3. Step 3: Cross multiply
   11.75x = 23.69 × 23.69
4. Step 4: Simplify right side
   11.75x = 561.10
5. Step 5: Solve for x
   x = 561.10/11.75
6. Step 6: Final answer
   x = 47.75