Finding the Third Proportional to 2,164.50 and 4,734

Step by Step Solution

1. Step 1: Write the proportion equation
   2,164.50 : 4,734 = 4,734 : x
2. Step 2: Convert to fraction form
   2,164.50/4,734 = 4,734/x
3. Step 3: Cross multiply
   2,164.50x = 4,734 × 4,734
4. Step 4: Simplify right side
   2,164.50x = 22,410,756
5. Step 5: Solve for x
   x = 22,410,756/2,164.50
6. Step 6: Final answer
   x = 10,353.78