Finding the Third Proportional to 1,055.25 and 1,596.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.25 : 1,596.38 = 1,596.38 : x
2. Step 2: Convert to fraction form
   1,055.25/1,596.38 = 1,596.38/x
3. Step 3: Cross multiply
   1,055.25x = 1,596.38 × 1,596.38
4. Step 4: Simplify right side
   1,055.25x = 2,548,413.14
5. Step 5: Solve for x
   x = 2,548,413.14/1,055.25
6. Step 6: Final answer
   x = 2,414.99