Finding the Third Proportional to 4,831.50 and 10,584.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,831.50 : 10,584.75 = 10,584.75 : x
2. Step 2: Convert to fraction form
   4,831.50/10,584.75 = 10,584.75/x
3. Step 3: Cross multiply
   4,831.50x = 10,584.75 × 10,584.75
4. Step 4: Simplify right side
   4,831.50x = 112,036,932.56
5. Step 5: Solve for x
   x = 112,036,932.56/4,831.50
6. Step 6: Final answer
   x = 23,188.85