Finding the Third Proportional to 10,850 and 16,756

Step by Step Solution

1. Step 1: Write the proportion equation
   10,850 : 16,756 = 16,756 : x
2. Step 2: Convert to fraction form
   10,850/16,756 = 16,756/x
3. Step 3: Cross multiply
   10,850x = 16,756 × 16,756
4. Step 4: Simplify right side
   10,850x = 280,763,536
5. Step 5: Solve for x
   x = 280,763,536/10,850
6. Step 6: Final answer
   x = 25,876.82