Finding the Third Proportional to 2,834.79 and 4,397.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834.79 : 4,397.41 = 4,397.41 : x
2. Step 2: Convert to fraction form
   2,834.79/4,397.41 = 4,397.41/x
3. Step 3: Cross multiply
   2,834.79x = 4,397.41 × 4,397.41
4. Step 4: Simplify right side
   2,834.79x = 19,337,250.44
5. Step 5: Solve for x
   x = 19,337,250.44/2,834.79
6. Step 6: Final answer
   x = 6,821.41