Finding the Third Proportional to 3,578.25 and 7,685.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,578.25 : 7,685.63 = 7,685.63 : x
2. Step 2: Convert to fraction form
   3,578.25/7,685.63 = 7,685.63/x
3. Step 3: Cross multiply
   3,578.25x = 7,685.63 × 7,685.63
4. Step 4: Simplify right side
   3,578.25x = 59,068,831.64
5. Step 5: Solve for x
   x = 59,068,831.64/3,578.25
6. Step 6: Final answer
   x = 16,507.74