Finding the Third Proportional to 1,072.83 and 2,284.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.83 : 2,284.03 = 2,284.03 : x
2. Step 2: Convert to fraction form
   1,072.83/2,284.03 = 2,284.03/x
3. Step 3: Cross multiply
   1,072.83x = 2,284.03 × 2,284.03
4. Step 4: Simplify right side
   1,072.83x = 5,216,798.75
5. Step 5: Solve for x
   x = 5,216,798.75/1,072.83
6. Step 6: Final answer
   x = 4,862.66