Finding the Third Proportional to 2,828.50 and 4,074

Step by Step Solution

1. Step 1: Write the proportion equation
   2,828.50 : 4,074 = 4,074 : x
2. Step 2: Convert to fraction form
   2,828.50/4,074 = 4,074/x
3. Step 3: Cross multiply
   2,828.50x = 4,074 × 4,074
4. Step 4: Simplify right side
   2,828.50x = 16,597,476
5. Step 5: Solve for x
   x = 16,597,476/2,828.50
6. Step 6: Final answer
   x = 5,867.94