Finding the Third Proportional to 23.69 and 51.38

Step by Step Solution

1. Step 1: Write the proportion equation
   23.69 : 51.38 = 51.38 : x
2. Step 2: Convert to fraction form
   23.69/51.38 = 51.38/x
3. Step 3: Cross multiply
   23.69x = 51.38 × 51.38
4. Step 4: Simplify right side
   23.69x = 2,639.39
5. Step 5: Solve for x
   x = 2,639.39/23.69
6. Step 6: Final answer
   x = 111.43