Finding the Third Proportional to 5,760 and 13,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,760 : 13,324.50 = 13,324.50 : x
2. Step 2: Convert to fraction form
   5,760/13,324.50 = 13,324.50/x
3. Step 3: Cross multiply
   5,760x = 13,324.50 × 13,324.50
4. Step 4: Simplify right side
   5,760x = 177,542,300.25
5. Step 5: Solve for x
   x = 177,542,300.25/5,760
6. Step 6: Final answer
   x = 30,823.32