Finding the Third Proportional to 3,688.50 and 5,523

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.50 : 5,523 = 5,523 : x
2. Step 2: Convert to fraction form
   3,688.50/5,523 = 5,523/x
3. Step 3: Cross multiply
   3,688.50x = 5,523 × 5,523
4. Step 4: Simplify right side
   3,688.50x = 30,503,529
5. Step 5: Solve for x
   x = 30,503,529/3,688.50
6. Step 6: Final answer
   x = 8,269.90