Finding the Third Proportional to 3,586.50 and 7,768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.50 : 7,768.69 = 7,768.69 : x
2. Step 2: Convert to fraction form
   3,586.50/7,768.69 = 7,768.69/x
3. Step 3: Cross multiply
   3,586.50x = 7,768.69 × 7,768.69
4. Step 4: Simplify right side
   3,586.50x = 60,352,505.47
5. Step 5: Solve for x
   x = 60,352,505.47/3,586.50
6. Step 6: Final answer
   x = 16,827.69