Finding the Third Proportional to 7,826 and 10,659

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 10,659 = 10,659 : x
2. Step 2: Convert to fraction form
   7,826/10,659 = 10,659/x
3. Step 3: Cross multiply
   7,826x = 10,659 × 10,659
4. Step 4: Simplify right side
   7,826x = 113,614,281
5. Step 5: Solve for x
   x = 113,614,281/7,826
6. Step 6: Final answer
   x = 14,517.54