Finding the Third Proportional to 3,181 and 5,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,181 : 5,678.50 = 5,678.50 : x
2. Step 2: Convert to fraction form
   3,181/5,678.50 = 5,678.50/x
3. Step 3: Cross multiply
   3,181x = 5,678.50 × 5,678.50
4. Step 4: Simplify right side
   3,181x = 32,245,362.25
5. Step 5: Solve for x
   x = 32,245,362.25/3,181
6. Step 6: Final answer
   x = 10,136.86