Finding the Third Proportional to 3,683 and 5,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683 : 5,369.50 = 5,369.50 : x
2. Step 2: Convert to fraction form
   3,683/5,369.50 = 5,369.50/x
3. Step 3: Cross multiply
   3,683x = 5,369.50 × 5,369.50
4. Step 4: Simplify right side
   3,683x = 28,831,530.25
5. Step 5: Solve for x
   x = 28,831,530.25/3,683
6. Step 6: Final answer
   x = 7,828.27