Finding the Third Proportional to 1,049.98 and 1,544.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.98 : 1,544.55 = 1,544.55 : x
2. Step 2: Convert to fraction form
   1,049.98/1,544.55 = 1,544.55/x
3. Step 3: Cross multiply
   1,049.98x = 1,544.55 × 1,544.55
4. Step 4: Simplify right side
   1,049.98x = 2,385,649.18
5. Step 5: Solve for x
   x = 2,385,649.18/1,049.98
6. Step 6: Final answer
   x = 2,272.10