Finding the Third Proportional to 2,057.63 and 3,165.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.63 : 3,165.75 = 3,165.75 : x
2. Step 2: Convert to fraction form
   2,057.63/3,165.75 = 3,165.75/x
3. Step 3: Cross multiply
   2,057.63x = 3,165.75 × 3,165.75
4. Step 4: Simplify right side
   2,057.63x = 10,021,973.06
5. Step 5: Solve for x
   x = 10,021,973.06/2,057.63
6. Step 6: Final answer
   x = 4,870.65