Finding the Third Proportional to 1,049.50 and 1,535.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.50 : 1,535.25 = 1,535.25 : x
2. Step 2: Convert to fraction form
   1,049.50/1,535.25 = 1,535.25/x
3. Step 3: Cross multiply
   1,049.50x = 1,535.25 × 1,535.25
4. Step 4: Simplify right side
   1,049.50x = 2,356,992.56
5. Step 5: Solve for x
   x = 2,356,992.56/1,049.50
6. Step 6: Final answer
   x = 2,245.82