Finding the Third Proportional to 10,797 and 16,850

Step by Step Solution

1. Step 1: Write the proportion equation
   10,797 : 16,850 = 16,850 : x
2. Step 2: Convert to fraction form
   10,797/16,850 = 16,850/x
3. Step 3: Cross multiply
   10,797x = 16,850 × 16,850
4. Step 4: Simplify right side
   10,797x = 283,922,500
5. Step 5: Solve for x
   x = 283,922,500/10,797
6. Step 6: Final answer
   x = 26,296.42