Finding the Third Proportional to 3,784.50 and 8,287.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 8,287.69 = 8,287.69 : x
2. Step 2: Convert to fraction form
   3,784.50/8,287.69 = 8,287.69/x
3. Step 3: Cross multiply
   3,784.50x = 8,287.69 × 8,287.69
4. Step 4: Simplify right side
   3,784.50x = 68,685,764.10
5. Step 5: Solve for x
   x = 68,685,764.10/3,784.50
6. Step 6: Final answer
   x = 18,149.23