Finding the Third Proportional to 3,586.78 and 7,686.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.78 : 7,686.14 = 7,686.14 : x
2. Step 2: Convert to fraction form
   3,586.78/7,686.14 = 7,686.14/x
3. Step 3: Cross multiply
   3,586.78x = 7,686.14 × 7,686.14
4. Step 4: Simplify right side
   3,586.78x = 59,076,757.71
5. Step 5: Solve for x
   x = 59,076,757.71/3,586.78
6. Step 6: Final answer
   x = 16,470.69