Finding the Third Proportional to 1,033.50 and 2,249.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.50 : 2,249.06 = 2,249.06 : x
2. Step 2: Convert to fraction form
   1,033.50/2,249.06 = 2,249.06/x
3. Step 3: Cross multiply
   1,033.50x = 2,249.06 × 2,249.06
4. Step 4: Simplify right side
   1,033.50x = 5,058,282.13
5. Step 5: Solve for x
   x = 5,058,282.13/1,033.50
6. Step 6: Final answer
   x = 4,894.32