Finding the Third Proportional to 2,853 and 5,346

Step by Step Solution

1. Step 1: Write the proportion equation
   2,853 : 5,346 = 5,346 : x
2. Step 2: Convert to fraction form
   2,853/5,346 = 5,346/x
3. Step 3: Cross multiply
   2,853x = 5,346 × 5,346
4. Step 4: Simplify right side
   2,853x = 28,579,716
5. Step 5: Solve for x
   x = 28,579,716/2,853
6. Step 6: Final answer
   x = 10,017.43