Finding the Third Proportional to 2,057.06 and 3,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.06 : 3,114.56 = 3,114.56 : x
2. Step 2: Convert to fraction form
   2,057.06/3,114.56 = 3,114.56/x
3. Step 3: Cross multiply
   2,057.06x = 3,114.56 × 3,114.56
4. Step 4: Simplify right side
   2,057.06x = 9,700,499.57
5. Step 5: Solve for x
   x = 9,700,499.57/2,057.06
6. Step 6: Final answer
   x = 4,715.70