Finding the Third Proportional to 2,824.52 and 4,034.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.52 : 4,034.42 = 4,034.42 : x
2. Step 2: Convert to fraction form
   2,824.52/4,034.42 = 4,034.42/x
3. Step 3: Cross multiply
   2,824.52x = 4,034.42 × 4,034.42
4. Step 4: Simplify right side
   2,824.52x = 16,276,520.47
5. Step 5: Solve for x
   x = 16,276,520.47/2,824.52
6. Step 6: Final answer
   x = 5,762.58