Finding the Third Proportional to 2,057.18 and 4,505.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.18 : 4,505.02 = 4,505.02 : x
2. Step 2: Convert to fraction form
   2,057.18/4,505.02 = 4,505.02/x
3. Step 3: Cross multiply
   2,057.18x = 4,505.02 × 4,505.02
4. Step 4: Simplify right side
   2,057.18x = 20,295,165.78
5. Step 5: Solve for x
   x = 20,295,165.78/2,057.18
6. Step 6: Final answer
   x = 9,865.53