Finding the Third Proportional to 2,505.94 and 3,896.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.94 : 3,896.02 = 3,896.02 : x
2. Step 2: Convert to fraction form
   2,505.94/3,896.02 = 3,896.02/x
3. Step 3: Cross multiply
   2,505.94x = 3,896.02 × 3,896.02
4. Step 4: Simplify right side
   2,505.94x = 15,178,937.75
5. Step 5: Solve for x
   x = 15,178,937.75/2,505.94
6. Step 6: Final answer
   x = 6,057.19