Finding the Third Proportional to 2,384 and 3,644

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384 : 3,644 = 3,644 : x
2. Step 2: Convert to fraction form
   2,384/3,644 = 3,644/x
3. Step 3: Cross multiply
   2,384x = 3,644 × 3,644
4. Step 4: Simplify right side
   2,384x = 13,278,736
5. Step 5: Solve for x
   x = 13,278,736/2,384
6. Step 6: Final answer
   x = 5,569.94