Finding the Third Proportional to 2,820 and 4,644

Step by Step Solution

1. Step 1: Write the proportion equation
   2,820 : 4,644 = 4,644 : x
2. Step 2: Convert to fraction form
   2,820/4,644 = 4,644/x
3. Step 3: Cross multiply
   2,820x = 4,644 × 4,644
4. Step 4: Simplify right side
   2,820x = 21,566,736
5. Step 5: Solve for x
   x = 21,566,736/2,820
6. Step 6: Final answer
   x = 7,647.78