Finding the Third Proportional to 2,814 and 5,385

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814 : 5,385 = 5,385 : x
2. Step 2: Convert to fraction form
   2,814/5,385 = 5,385/x
3. Step 3: Cross multiply
   2,814x = 5,385 × 5,385
4. Step 4: Simplify right side
   2,814x = 28,998,225
5. Step 5: Solve for x
   x = 28,998,225/2,814
6. Step 6: Final answer
   x = 10,304.98