Finding the Third Proportional to 16,256 and 40,424

Step by Step Solution

1. Step 1: Write the proportion equation
   16,256 : 40,424 = 40,424 : x
2. Step 2: Convert to fraction form
   16,256/40,424 = 40,424/x
3. Step 3: Cross multiply
   16,256x = 40,424 × 40,424
4. Step 4: Simplify right side
   16,256x = 1,634,099,776
5. Step 5: Solve for x
   x = 1,634,099,776/16,256
6. Step 6: Final answer
   x = 100,522.87