Finding the Third Proportional to 12,186 and 19,388

Step by Step Solution

1. Step 1: Write the proportion equation
   12,186 : 19,388 = 19,388 : x
2. Step 2: Convert to fraction form
   12,186/19,388 = 19,388/x
3. Step 3: Cross multiply
   12,186x = 19,388 × 19,388
4. Step 4: Simplify right side
   12,186x = 375,894,544
5. Step 5: Solve for x
   x = 375,894,544/12,186
6. Step 6: Final answer
   x = 30,846.43