Finding the Third Proportional to 3,923 and 5,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,923 : 5,669.50 = 5,669.50 : x
2. Step 2: Convert to fraction form
   3,923/5,669.50 = 5,669.50/x
3. Step 3: Cross multiply
   3,923x = 5,669.50 × 5,669.50
4. Step 4: Simplify right side
   3,923x = 32,143,230.25
5. Step 5: Solve for x
   x = 32,143,230.25/3,923
6. Step 6: Final answer
   x = 8,193.53