Finding the Third Proportional to 2,229.75 and 4,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,229.75 : 4,727.25 = 4,727.25 : x
2. Step 2: Convert to fraction form
   2,229.75/4,727.25 = 4,727.25/x
3. Step 3: Cross multiply
   2,229.75x = 4,727.25 × 4,727.25
4. Step 4: Simplify right side
   2,229.75x = 22,346,892.56
5. Step 5: Solve for x
   x = 22,346,892.56/2,229.75
6. Step 6: Final answer
   x = 10,022.15