Finding the Third Proportional to 1,830.94 and 3,949.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.94 : 3,949.59 = 3,949.59 : x
2. Step 2: Convert to fraction form
   1,830.94/3,949.59 = 3,949.59/x
3. Step 3: Cross multiply
   1,830.94x = 3,949.59 × 3,949.59
4. Step 4: Simplify right side
   1,830.94x = 15,599,290.79
5. Step 5: Solve for x
   x = 15,599,290.79/1,830.94
6. Step 6: Final answer
   x = 8,519.84