Finding the Third Proportional to 2,628 and 5,343

Step by Step Solution

1. Step 1: Write the proportion equation
   2,628 : 5,343 = 5,343 : x
2. Step 2: Convert to fraction form
   2,628/5,343 = 5,343/x
3. Step 3: Cross multiply
   2,628x = 5,343 × 5,343
4. Step 4: Simplify right side
   2,628x = 28,547,649
5. Step 5: Solve for x
   x = 28,547,649/2,628
6. Step 6: Final answer
   x = 10,862.88