Finding the Third Proportional to 6,424 and 12,830

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424 : 12,830 = 12,830 : x
2. Step 2: Convert to fraction form
   6,424/12,830 = 12,830/x
3. Step 3: Cross multiply
   6,424x = 12,830 × 12,830
4. Step 4: Simplify right side
   6,424x = 164,608,900
5. Step 5: Solve for x
   x = 164,608,900/6,424
6. Step 6: Final answer
   x = 25,624.05