Finding the Third Proportional to 10,756 and 16,806

Step by Step Solution

1. Step 1: Write the proportion equation
   10,756 : 16,806 = 16,806 : x
2. Step 2: Convert to fraction form
   10,756/16,806 = 16,806/x
3. Step 3: Cross multiply
   10,756x = 16,806 × 16,806
4. Step 4: Simplify right side
   10,756x = 282,441,636
5. Step 5: Solve for x
   x = 282,441,636/10,756
6. Step 6: Final answer
   x = 26,258.98