Finding the Third Proportional to 3,146 and 5,644

Step by Step Solution

1. Step 1: Write the proportion equation
   3,146 : 5,644 = 5,644 : x
2. Step 2: Convert to fraction form
   3,146/5,644 = 5,644/x
3. Step 3: Cross multiply
   3,146x = 5,644 × 5,644
4. Step 4: Simplify right side
   3,146x = 31,854,736
5. Step 5: Solve for x
   x = 31,854,736/3,146
6. Step 6: Final answer
   x = 10,125.47