Finding the Third Proportional to 7,662.09 and 16,417.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,662.09 : 16,417.69 = 16,417.69 : x
2. Step 2: Convert to fraction form
   7,662.09/16,417.69 = 16,417.69/x
3. Step 3: Cross multiply
   7,662.09x = 16,417.69 × 16,417.69
4. Step 4: Simplify right side
   7,662.09x = 269,540,462.85
5. Step 5: Solve for x
   x = 269,540,462.85/7,662.09
6. Step 6: Final answer
   x = 35,178.43