Finding the Third Proportional to 2,514 and 5,205

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 5,205 = 5,205 : x
2. Step 2: Convert to fraction form
   2,514/5,205 = 5,205/x
3. Step 3: Cross multiply
   2,514x = 5,205 × 5,205
4. Step 4: Simplify right side
   2,514x = 27,092,025
5. Step 5: Solve for x
   x = 27,092,025/2,514
6. Step 6: Final answer
   x = 10,776.46