Finding the Third Proportional to 10,856 and 16,375

Step by Step Solution

1. Step 1: Write the proportion equation
   10,856 : 16,375 = 16,375 : x
2. Step 2: Convert to fraction form
   10,856/16,375 = 16,375/x
3. Step 3: Cross multiply
   10,856x = 16,375 × 16,375
4. Step 4: Simplify right side
   10,856x = 268,140,625
5. Step 5: Solve for x
   x = 268,140,625/10,856
6. Step 6: Final answer
   x = 24,699.76