Finding the Third Proportional to 1,563.36 and 3,404.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,563.36 : 3,404.37 = 3,404.37 : x
2. Step 2: Convert to fraction form
   1,563.36/3,404.37 = 3,404.37/x
3. Step 3: Cross multiply
   1,563.36x = 3,404.37 × 3,404.37
4. Step 4: Simplify right side
   1,563.36x = 11,589,755.84
5. Step 5: Solve for x
   x = 11,589,755.84/1,563.36
6. Step 6: Final answer
   x = 7,413.35