Finding the Third Proportional to 3,114 and 5,762

Step by Step Solution

1. Step 1: Write the proportion equation
   3,114 : 5,762 = 5,762 : x
2. Step 2: Convert to fraction form
   3,114/5,762 = 5,762/x
3. Step 3: Cross multiply
   3,114x = 5,762 × 5,762
4. Step 4: Simplify right side
   3,114x = 33,200,644
5. Step 5: Solve for x
   x = 33,200,644/3,114
6. Step 6: Final answer
   x = 10,661.74