Finding the Third Proportional to 4,665.50 and 7,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,665.50 : 7,234.50 = 7,234.50 : x
2. Step 2: Convert to fraction form
   4,665.50/7,234.50 = 7,234.50/x
3. Step 3: Cross multiply
   4,665.50x = 7,234.50 × 7,234.50
4. Step 4: Simplify right side
   4,665.50x = 52,337,990.25
5. Step 5: Solve for x
   x = 52,337,990.25/4,665.50
6. Step 6: Final answer
   x = 11,218.09