Finding the Third Proportional to 9,856 and 16,423

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856 : 16,423 = 16,423 : x
2. Step 2: Convert to fraction form
   9,856/16,423 = 16,423/x
3. Step 3: Cross multiply
   9,856x = 16,423 × 16,423
4. Step 4: Simplify right side
   9,856x = 269,714,929
5. Step 5: Solve for x
   x = 269,714,929/9,856
6. Step 6: Final answer
   x = 27,365.56