Finding the Third Proportional to 8,184 and 10,957

Step by Step Solution

1. Step 1: Write the proportion equation
   8,184 : 10,957 = 10,957 : x
2. Step 2: Convert to fraction form
   8,184/10,957 = 10,957/x
3. Step 3: Cross multiply
   8,184x = 10,957 × 10,957
4. Step 4: Simplify right side
   8,184x = 120,055,849
5. Step 5: Solve for x
   x = 120,055,849/8,184
6. Step 6: Final answer
   x = 14,669.58