Finding the Third Proportional to 3,516.75 and 7,682.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,516.75 : 7,682.63 = 7,682.63 : x
2. Step 2: Convert to fraction form
   3,516.75/7,682.63 = 7,682.63/x
3. Step 3: Cross multiply
   3,516.75x = 7,682.63 × 7,682.63
4. Step 4: Simplify right side
   3,516.75x = 59,022,726.89
5. Step 5: Solve for x
   x = 59,022,726.89/3,516.75
6. Step 6: Final answer
   x = 16,783.32