Finding the Third Proportional to 3,517.57 and 7,659.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,517.57 : 7,659.84 = 7,659.84 : x
2. Step 2: Convert to fraction form
   3,517.57/7,659.84 = 7,659.84/x
3. Step 3: Cross multiply
   3,517.57x = 7,659.84 × 7,659.84
4. Step 4: Simplify right side
   3,517.57x = 58,673,138.95
5. Step 5: Solve for x
   x = 58,673,138.95/3,517.57
6. Step 6: Final answer
   x = 16,680.03