Finding the Third Proportional to 1,007.25 and 2,198.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.25 : 2,198.63 = 2,198.63 : x
2. Step 2: Convert to fraction form
   1,007.25/2,198.63 = 2,198.63/x
3. Step 3: Cross multiply
   1,007.25x = 2,198.63 × 2,198.63
4. Step 4: Simplify right side
   1,007.25x = 4,833,951.89
5. Step 5: Solve for x
   x = 4,833,951.89/1,007.25
6. Step 6: Final answer
   x = 4,799.16