Finding the Third Proportional to 2,205.25 and 4,730.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,205.25 : 4,730.27 = 4,730.27 : x
2. Step 2: Convert to fraction form
   2,205.25/4,730.27 = 4,730.27/x
3. Step 3: Cross multiply
   2,205.25x = 4,730.27 × 4,730.27
4. Step 4: Simplify right side
   2,205.25x = 22,375,486.79
5. Step 5: Solve for x
   x = 22,375,486.79/2,205.25
6. Step 6: Final answer
   x = 10,146.48