Finding the Third Proportional to 29.75 and 39.69

Step by Step Solution

1. Step 1: Write the proportion equation
   29.75 : 39.69 = 39.69 : x
2. Step 2: Convert to fraction form
   29.75/39.69 = 39.69/x
3. Step 3: Cross multiply
   29.75x = 39.69 × 39.69
4. Step 4: Simplify right side
   29.75x = 1,575.10
5. Step 5: Solve for x
   x = 1,575.10/29.75
6. Step 6: Final answer
   x = 52.94