Finding the Third Proportional to 12,009.56 and 19,185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,009.56 : 19,185.38 = 19,185.38 : x
2. Step 2: Convert to fraction form
   12,009.56/19,185.38 = 19,185.38/x
3. Step 3: Cross multiply
   12,009.56x = 19,185.38 × 19,185.38
4. Step 4: Simplify right side
   12,009.56x = 368,078,613.89
5. Step 5: Solve for x
   x = 368,078,613.89/12,009.56
6. Step 6: Final answer
   x = 30,648.79