Finding the Third Proportional to 1,189.69 and 1,804.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.69 : 1,804.78 = 1,804.78 : x
2. Step 2: Convert to fraction form
   1,189.69/1,804.78 = 1,804.78/x
3. Step 3: Cross multiply
   1,189.69x = 1,804.78 × 1,804.78
4. Step 4: Simplify right side
   1,189.69x = 3,257,235.36
5. Step 5: Solve for x
   x = 3,257,235.36/1,189.69
6. Step 6: Final answer
   x = 2,737.89