Finding the Third Proportional to 6,540 and 12,184

Step by Step Solution

1. Step 1: Write the proportion equation
   6,540 : 12,184 = 12,184 : x
2. Step 2: Convert to fraction form
   6,540/12,184 = 12,184/x
3. Step 3: Cross multiply
   6,540x = 12,184 × 12,184
4. Step 4: Simplify right side
   6,540x = 148,449,856
5. Step 5: Solve for x
   x = 148,449,856/6,540
6. Step 6: Final answer
   x = 22,698.75