Finding the Third Proportional to 9,186 and 12,414

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186 : 12,414 = 12,414 : x
2. Step 2: Convert to fraction form
   9,186/12,414 = 12,414/x
3. Step 3: Cross multiply
   9,186x = 12,414 × 12,414
4. Step 4: Simplify right side
   9,186x = 154,107,396
5. Step 5: Solve for x
   x = 154,107,396/9,186
6. Step 6: Final answer
   x = 16,776.33