Finding the Third Proportional to 10,826 and 16,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 16,584 = 16,584 : x
2. Step 2: Convert to fraction form
   10,826/16,584 = 16,584/x
3. Step 3: Cross multiply
   10,826x = 16,584 × 16,584
4. Step 4: Simplify right side
   10,826x = 275,029,056
5. Step 5: Solve for x
   x = 275,029,056/10,826
6. Step 6: Final answer
   x = 25,404.49