Finding the Third Proportional to 7,683 and 10,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,683 : 10,408.50 = 10,408.50 : x
2. Step 2: Convert to fraction form
   7,683/10,408.50 = 10,408.50/x
3. Step 3: Cross multiply
   7,683x = 10,408.50 × 10,408.50
4. Step 4: Simplify right side
   7,683x = 108,336,872.25
5. Step 5: Solve for x
   x = 108,336,872.25/7,683
6. Step 6: Final answer
   x = 14,100.86