Finding the Third Proportional to 2,219.38 and 4,856.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,219.38 : 4,856.31 = 4,856.31 : x
2. Step 2: Convert to fraction form
   2,219.38/4,856.31 = 4,856.31/x
3. Step 3: Cross multiply
   2,219.38x = 4,856.31 × 4,856.31
4. Step 4: Simplify right side
   2,219.38x = 23,583,771.10
5. Step 5: Solve for x
   x = 23,583,771.10/2,219.38
6. Step 6: Final answer
   x = 10,626.31