Finding the Third Proportional to 2,826 and 5,310

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826 : 5,310 = 5,310 : x
2. Step 2: Convert to fraction form
   2,826/5,310 = 5,310/x
3. Step 3: Cross multiply
   2,826x = 5,310 × 5,310
4. Step 4: Simplify right side
   2,826x = 28,196,100
5. Step 5: Solve for x
   x = 28,196,100/2,826
6. Step 6: Final answer
   x = 9,977.39