Finding the Third Proportional to 8,206.81 and 18,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,206.81 : 18,009.25 = 18,009.25 : x
2. Step 2: Convert to fraction form
   8,206.81/18,009.25 = 18,009.25/x
3. Step 3: Cross multiply
   8,206.81x = 18,009.25 × 18,009.25
4. Step 4: Simplify right side
   8,206.81x = 324,333,085.56
5. Step 5: Solve for x
   x = 324,333,085.56/8,206.81
6. Step 6: Final answer
   x = 39,519.98