Finding the Third Proportional to 1,137.16 and 1,661.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.16 : 1,661.45 = 1,661.45 : x
2. Step 2: Convert to fraction form
   1,137.16/1,661.45 = 1,661.45/x
3. Step 3: Cross multiply
   1,137.16x = 1,661.45 × 1,661.45
4. Step 4: Simplify right side
   1,137.16x = 2,760,413.51
5. Step 5: Solve for x
   x = 2,760,413.51/1,137.16
6. Step 6: Final answer
   x = 2,427.45