Finding the Third Proportional to 1,041 and 1,571.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,041 : 1,571.25 = 1,571.25 : x
2. Step 2: Convert to fraction form
   1,041/1,571.25 = 1,571.25/x
3. Step 3: Cross multiply
   1,041x = 1,571.25 × 1,571.25
4. Step 4: Simplify right side
   1,041x = 2,468,826.56
5. Step 5: Solve for x
   x = 2,468,826.56/1,041
6. Step 6: Final answer
   x = 2,371.59