Finding the Third Proportional to 2,505.38 and 4,287.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.38 : 4,287.94 = 4,287.94 : x
2. Step 2: Convert to fraction form
   2,505.38/4,287.94 = 4,287.94/x
3. Step 3: Cross multiply
   2,505.38x = 4,287.94 × 4,287.94
4. Step 4: Simplify right side
   2,505.38x = 18,386,408.00
5. Step 5: Solve for x
   x = 18,386,408.00/2,505.38
6. Step 6: Final answer
   x = 7,338.78