Finding the Third Proportional to 4,829.81 and 10,582.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,829.81 : 10,582.31 = 10,582.31 : x
2. Step 2: Convert to fraction form
   4,829.81/10,582.31 = 10,582.31/x
3. Step 3: Cross multiply
   4,829.81x = 10,582.31 × 10,582.31
4. Step 4: Simplify right side
   4,829.81x = 111,985,337.85
5. Step 5: Solve for x
   x = 111,985,337.85/4,829.81
6. Step 6: Final answer
   x = 23,186.27