Finding the Third Proportional to 1,047.09 and 1,584.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047.09 : 1,584.28 = 1,584.28 : x
2. Step 2: Convert to fraction form
   1,047.09/1,584.28 = 1,584.28/x
3. Step 3: Cross multiply
   1,047.09x = 1,584.28 × 1,584.28
4. Step 4: Simplify right side
   1,047.09x = 2,509,947.08
5. Step 5: Solve for x
   x = 2,509,947.08/1,047.09
6. Step 6: Final answer
   x = 2,397.06