Finding the Third Proportional to 1,027.27 and 1,453.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.27 : 1,453.57 = 1,453.57 : x
2. Step 2: Convert to fraction form
   1,027.27/1,453.57 = 1,453.57/x
3. Step 3: Cross multiply
   1,027.27x = 1,453.57 × 1,453.57
4. Step 4: Simplify right side
   1,027.27x = 2,112,866.65
5. Step 5: Solve for x
   x = 2,112,866.65/1,027.27
6. Step 6: Final answer
   x = 2,056.79