Finding the Third Proportional to 5,760 and 7,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,760 : 7,735.50 = 7,735.50 : x
2. Step 2: Convert to fraction form
   5,760/7,735.50 = 7,735.50/x
3. Step 3: Cross multiply
   5,760x = 7,735.50 × 7,735.50
4. Step 4: Simplify right side
   5,760x = 59,837,960.25
5. Step 5: Solve for x
   x = 59,837,960.25/5,760
6. Step 6: Final answer
   x = 10,388.53