Finding the Third Proportional to 1,141.75 and 1,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.75 : 1,535.50 = 1,535.50 : x
2. Step 2: Convert to fraction form
   1,141.75/1,535.50 = 1,535.50/x
3. Step 3: Cross multiply
   1,141.75x = 1,535.50 × 1,535.50
4. Step 4: Simplify right side
   1,141.75x = 2,357,760.25
5. Step 5: Solve for x
   x = 2,357,760.25/1,141.75
6. Step 6: Final answer
   x = 2,065.04