Finding the Third Proportional to 8,205.05 and 16,831.55

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205.05 : 16,831.55 = 16,831.55 : x
2. Step 2: Convert to fraction form
   8,205.05/16,831.55 = 16,831.55/x
3. Step 3: Cross multiply
   8,205.05x = 16,831.55 × 16,831.55
4. Step 4: Simplify right side
   8,205.05x = 283,300,970.21
5. Step 5: Solve for x
   x = 283,300,970.21/8,205.05
6. Step 6: Final answer
   x = 34,527.65