Finding the Third Proportional to 2,834.25 and 4,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834.25 : 4,405.50 = 4,405.50 : x
2. Step 2: Convert to fraction form
   2,834.25/4,405.50 = 4,405.50/x
3. Step 3: Cross multiply
   2,834.25x = 4,405.50 × 4,405.50
4. Step 4: Simplify right side
   2,834.25x = 19,408,430.25
5. Step 5: Solve for x
   x = 19,408,430.25/2,834.25
6. Step 6: Final answer
   x = 6,847.82