Finding the Third Proportional to 1,560.75 and 3,401.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,560.75 : 3,401.63 = 3,401.63 : x
2. Step 2: Convert to fraction form
   1,560.75/3,401.63 = 3,401.63/x
3. Step 3: Cross multiply
   1,560.75x = 3,401.63 × 3,401.63
4. Step 4: Simplify right side
   1,560.75x = 11,571,052.64
5. Step 5: Solve for x
   x = 11,571,052.64/1,560.75
6. Step 6: Final answer
   x = 7,413.78