Finding the Third Proportional to 10,826 and 16,606

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 16,606 = 16,606 : x
2. Step 2: Convert to fraction form
   10,826/16,606 = 16,606/x
3. Step 3: Cross multiply
   10,826x = 16,606 × 16,606
4. Step 4: Simplify right side
   10,826x = 275,759,236
5. Step 5: Solve for x
   x = 275,759,236/10,826
6. Step 6: Final answer
   x = 25,471.94