Finding the Third Proportional to 2,057.63 and 4,507.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.63 : 4,507.31 = 4,507.31 : x
2. Step 2: Convert to fraction form
   2,057.63/4,507.31 = 4,507.31/x
3. Step 3: Cross multiply
   2,057.63x = 4,507.31 × 4,507.31
4. Step 4: Simplify right side
   2,057.63x = 20,315,865.97
5. Step 5: Solve for x
   x = 20,315,865.97/2,057.63
6. Step 6: Final answer
   x = 9,873.45