Finding the Third Proportional to 1,190.38 and 2,557.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,190.38 : 2,557.94 = 2,557.94 : x
2. Step 2: Convert to fraction form
   1,190.38/2,557.94 = 2,557.94/x
3. Step 3: Cross multiply
   1,190.38x = 2,557.94 × 2,557.94
4. Step 4: Simplify right side
   1,190.38x = 6,543,044.25
5. Step 5: Solve for x
   x = 6,543,044.25/1,190.38
6. Step 6: Final answer
   x = 5,496.62