Finding the Third Proportional to 2,505.38 and 3,929.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.38 : 3,929.63 = 3,929.63 : x
2. Step 2: Convert to fraction form
   2,505.38/3,929.63 = 3,929.63/x
3. Step 3: Cross multiply
   2,505.38x = 3,929.63 × 3,929.63
4. Step 4: Simplify right side
   2,505.38x = 15,441,952.64
5. Step 5: Solve for x
   x = 15,441,952.64/2,505.38
6. Step 6: Final answer
   x = 6,163.53