Finding the Third Proportional to 2,181.94 and 4,771.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,181.94 : 4,771.31 = 4,771.31 : x
2. Step 2: Convert to fraction form
   2,181.94/4,771.31 = 4,771.31/x
3. Step 3: Cross multiply
   2,181.94x = 4,771.31 × 4,771.31
4. Step 4: Simplify right side
   2,181.94x = 22,765,422.97
5. Step 5: Solve for x
   x = 22,765,422.97/2,181.94
6. Step 6: Final answer
   x = 10,433.58