Finding the Third Proportional to 1,007.44 and 2,205.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.44 : 2,205.98 = 2,205.98 : x
2. Step 2: Convert to fraction form
   1,007.44/2,205.98 = 2,205.98/x
3. Step 3: Cross multiply
   1,007.44x = 2,205.98 × 2,205.98
4. Step 4: Simplify right side
   1,007.44x = 4,866,367.06
5. Step 5: Solve for x
   x = 4,866,367.06/1,007.44
6. Step 6: Final answer
   x = 4,830.44