Finding the Third Proportional to 23.69 and 42

Step by Step Solution

1. Step 1: Write the proportion equation
   23.69 : 42 = 42 : x
2. Step 2: Convert to fraction form
   23.69/42 = 42/x
3. Step 3: Cross multiply
   23.69x = 42 × 42
4. Step 4: Simplify right side
   23.69x = 1,764
5. Step 5: Solve for x
   x = 1,764/23.69
6. Step 6: Final answer
   x = 74.47