Finding the Third Proportional to 1,036.76 and 1,571.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.76 : 1,571.59 = 1,571.59 : x
2. Step 2: Convert to fraction form
   1,036.76/1,571.59 = 1,571.59/x
3. Step 3: Cross multiply
   1,036.76x = 1,571.59 × 1,571.59
4. Step 4: Simplify right side
   1,036.76x = 2,469,894.64
5. Step 5: Solve for x
   x = 2,469,894.64/1,036.76
6. Step 6: Final answer
   x = 2,382.33