Finding the Third Proportional to 10,424 and 16,020

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 16,020 = 16,020 : x
2. Step 2: Convert to fraction form
   10,424/16,020 = 16,020/x
3. Step 3: Cross multiply
   10,424x = 16,020 × 16,020
4. Step 4: Simplify right side
   10,424x = 256,640,400
5. Step 5: Solve for x
   x = 256,640,400/10,424
6. Step 6: Final answer
   x = 24,620.15