Finding the Third Proportional to 8,200 and 12,424

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200 : 12,424 = 12,424 : x
2. Step 2: Convert to fraction form
   8,200/12,424 = 12,424/x
3. Step 3: Cross multiply
   8,200x = 12,424 × 12,424
4. Step 4: Simplify right side
   8,200x = 154,355,776
5. Step 5: Solve for x
   x = 154,355,776/8,200
6. Step 6: Final answer
   x = 18,823.88