Finding the Third Proportional to 1,821.94 and 3,934.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,821.94 : 3,934.69 = 3,934.69 : x
2. Step 2: Convert to fraction form
   1,821.94/3,934.69 = 3,934.69/x
3. Step 3: Cross multiply
   1,821.94x = 3,934.69 × 3,934.69
4. Step 4: Simplify right side
   1,821.94x = 15,481,765.72
5. Step 5: Solve for x
   x = 15,481,765.72/1,821.94
6. Step 6: Final answer
   x = 8,497.42