Finding the Third Proportional to 2,824.88 and 4,122.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.88 : 4,122.56 = 4,122.56 : x
2. Step 2: Convert to fraction form
   2,824.88/4,122.56 = 4,122.56/x
3. Step 3: Cross multiply
   2,824.88x = 4,122.56 × 4,122.56
4. Step 4: Simplify right side
   2,824.88x = 16,995,521.57
5. Step 5: Solve for x
   x = 16,995,521.57/2,824.88
6. Step 6: Final answer
   x = 6,016.38