Finding the Third Proportional to 1,198.69 and 2,577.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198.69 : 2,577.94 = 2,577.94 : x
2. Step 2: Convert to fraction form
   1,198.69/2,577.94 = 2,577.94/x
3. Step 3: Cross multiply
   1,198.69x = 2,577.94 × 2,577.94
4. Step 4: Simplify right side
   1,198.69x = 6,645,761.75
5. Step 5: Solve for x
   x = 6,645,761.75/1,198.69
6. Step 6: Final answer
   x = 5,544.20