Finding the Third Proportional to 5,834.53 and 9,280.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834.53 : 9,280.83 = 9,280.83 : x
2. Step 2: Convert to fraction form
   5,834.53/9,280.83 = 9,280.83/x
3. Step 3: Cross multiply
   5,834.53x = 9,280.83 × 9,280.83
4. Step 4: Simplify right side
   5,834.53x = 86,133,770.69
5. Step 5: Solve for x
   x = 86,133,770.69/5,834.53
6. Step 6: Final answer
   x = 14,762.76