Finding the Third Proportional to 16.22 and 34.69

Step by Step Solution

1. Step 1: Write the proportion equation
   16.22 : 34.69 = 34.69 : x
2. Step 2: Convert to fraction form
   16.22/34.69 = 34.69/x
3. Step 3: Cross multiply
   16.22x = 34.69 × 34.69
4. Step 4: Simplify right side
   16.22x = 1,203.22
5. Step 5: Solve for x
   x = 1,203.22/16.22
6. Step 6: Final answer
   x = 74.19