Finding the Third Proportional to 4,830.89 and 10,584.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,830.89 : 10,584.42 = 10,584.42 : x
2. Step 2: Convert to fraction form
   4,830.89/10,584.42 = 10,584.42/x
3. Step 3: Cross multiply
   4,830.89x = 10,584.42 × 10,584.42
4. Step 4: Simplify right side
   4,830.89x = 112,029,986.43
5. Step 5: Solve for x
   x = 112,029,986.43/4,830.89
6. Step 6: Final answer
   x = 23,190.34