Finding the Third Proportional to 1,458.56 and 2,709.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.56 : 2,709.56 = 2,709.56 : x
2. Step 2: Convert to fraction form
   1,458.56/2,709.56 = 2,709.56/x
3. Step 3: Cross multiply
   1,458.56x = 2,709.56 × 2,709.56
4. Step 4: Simplify right side
   1,458.56x = 7,341,728.94
5. Step 5: Solve for x
   x = 7,341,728.94/1,458.56
6. Step 6: Final answer
   x = 5,033.54