Finding the Third Proportional to 8,185 and 12,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,185 : 12,369.50 = 12,369.50 : x
2. Step 2: Convert to fraction form
   8,185/12,369.50 = 12,369.50/x
3. Step 3: Cross multiply
   8,185x = 12,369.50 × 12,369.50
4. Step 4: Simplify right side
   8,185x = 153,004,530.25
5. Step 5: Solve for x
   x = 153,004,530.25/8,185
6. Step 6: Final answer
   x = 18,693.28