Finding the Third Proportional to 22.69 and 34.69

Step by Step Solution

1. Step 1: Write the proportion equation
   22.69 : 34.69 = 34.69 : x
2. Step 2: Convert to fraction form
   22.69/34.69 = 34.69/x
3. Step 3: Cross multiply
   22.69x = 34.69 × 34.69
4. Step 4: Simplify right side
   22.69x = 1,203.22
5. Step 5: Solve for x
   x = 1,203.22/22.69
6. Step 6: Final answer
   x = 53.03