Finding the Third Proportional to 4,112 and 5,644

Step by Step Solution

1. Step 1: Write the proportion equation
   4,112 : 5,644 = 5,644 : x
2. Step 2: Convert to fraction form
   4,112/5,644 = 5,644/x
3. Step 3: Cross multiply
   4,112x = 5,644 × 5,644
4. Step 4: Simplify right side
   4,112x = 31,854,736
5. Step 5: Solve for x
   x = 31,854,736/4,112
6. Step 6: Final answer
   x = 7,746.77