Finding the Third Proportional to 3,914.25 and 8,582.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.25 : 8,582.63 = 8,582.63 : x
2. Step 2: Convert to fraction form
   3,914.25/8,582.63 = 8,582.63/x
3. Step 3: Cross multiply
   3,914.25x = 8,582.63 × 8,582.63
4. Step 4: Simplify right side
   3,914.25x = 73,661,451.89
5. Step 5: Solve for x
   x = 73,661,451.89/3,914.25
6. Step 6: Final answer
   x = 18,818.79