Finding the Third Proportional to 8,186 and 18,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,186 : 18,185.50 = 18,185.50 : x
2. Step 2: Convert to fraction form
   8,186/18,185.50 = 18,185.50/x
3. Step 3: Cross multiply
   8,186x = 18,185.50 × 18,185.50
4. Step 4: Simplify right side
   8,186x = 330,712,410.25
5. Step 5: Solve for x
   x = 330,712,410.25/8,186
6. Step 6: Final answer
   x = 40,399.76