Finding the Third Proportional to 4,809.38 and 7,227.98

Step by Step Solution

1. Step 1: Write the proportion equation
   4,809.38 : 7,227.98 = 7,227.98 : x
2. Step 2: Convert to fraction form
   4,809.38/7,227.98 = 7,227.98/x
3. Step 3: Cross multiply
   4,809.38x = 7,227.98 × 7,227.98
4. Step 4: Simplify right side
   4,809.38x = 52,243,758.13
5. Step 5: Solve for x
   x = 52,243,758.13/4,809.38
6. Step 6: Final answer
   x = 10,862.90