Finding the Third Proportional to 2,025.38 and 4,429.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,025.38 : 4,429.31 = 4,429.31 : x
2. Step 2: Convert to fraction form
   2,025.38/4,429.31 = 4,429.31/x
3. Step 3: Cross multiply
   2,025.38x = 4,429.31 × 4,429.31
4. Step 4: Simplify right side
   2,025.38x = 19,618,809.22
5. Step 5: Solve for x
   x = 19,618,809.22/2,025.38
6. Step 6: Final answer
   x = 9,686.51