Finding the Third Proportional to 1,544.48 and 2,282.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,544.48 : 2,282.55 = 2,282.55 : x
2. Step 2: Convert to fraction form
   1,544.48/2,282.55 = 2,282.55/x
3. Step 3: Cross multiply
   1,544.48x = 2,282.55 × 2,282.55
4. Step 4: Simplify right side
   1,544.48x = 5,210,055.90
5. Step 5: Solve for x
   x = 5,210,055.90/1,544.48
6. Step 6: Final answer
   x = 3,373.33