Finding the Third Proportional to 4,183.31 and 9,181.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,183.31 : 9,181.69 = 9,181.69 : x
2. Step 2: Convert to fraction form
   4,183.31/9,181.69 = 9,181.69/x
3. Step 3: Cross multiply
   4,183.31x = 9,181.69 × 9,181.69
4. Step 4: Simplify right side
   4,183.31x = 84,303,385.35
5. Step 5: Solve for x
   x = 84,303,385.35/4,183.31
6. Step 6: Final answer
   x = 20,152.30