Finding the Third Proportional to 6,186 and 12,468

Step by Step Solution

1. Step 1: Write the proportion equation
   6,186 : 12,468 = 12,468 : x
2. Step 2: Convert to fraction form
   6,186/12,468 = 12,468/x
3. Step 3: Cross multiply
   6,186x = 12,468 × 12,468
4. Step 4: Simplify right side
   6,186x = 155,451,024
5. Step 5: Solve for x
   x = 155,451,024/6,186
6. Step 6: Final answer
   x = 25,129.49