Finding the Third Proportional to 34.69 and 49.69

Step by Step Solution

1. Step 1: Write the proportion equation
   34.69 : 49.69 = 49.69 : x
2. Step 2: Convert to fraction form
   34.69/49.69 = 49.69/x
3. Step 3: Cross multiply
   34.69x = 49.69 × 49.69
4. Step 4: Simplify right side
   34.69x = 2,468.85
5. Step 5: Solve for x
   x = 2,468.85/34.69
6. Step 6: Final answer
   x = 71.17