Finding the Third Proportional to 3,827.25 and 8,414.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.25 : 8,414.82 = 8,414.82 : x
2. Step 2: Convert to fraction form
   3,827.25/8,414.82 = 8,414.82/x
3. Step 3: Cross multiply
   3,827.25x = 8,414.82 × 8,414.82
4. Step 4: Simplify right side
   3,827.25x = 70,809,266.63
5. Step 5: Solve for x
   x = 70,809,266.63/3,827.25
6. Step 6: Final answer
   x = 18,501.34