Finding the Third Proportional to 16.50 and 40.69

Step by Step Solution

1. Step 1: Write the proportion equation
   16.50 : 40.69 = 40.69 : x
2. Step 2: Convert to fraction form
   16.50/40.69 = 40.69/x
3. Step 3: Cross multiply
   16.50x = 40.69 × 40.69
4. Step 4: Simplify right side
   16.50x = 1,655.47
5. Step 5: Solve for x
   x = 1,655.47/16.50
6. Step 6: Final answer
   x = 100.33