Finding the Third Proportional to 4,863.38 and 7,598.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,863.38 : 7,598.81 = 7,598.81 : x
2. Step 2: Convert to fraction form
   4,863.38/7,598.81 = 7,598.81/x
3. Step 3: Cross multiply
   4,863.38x = 7,598.81 × 7,598.81
4. Step 4: Simplify right side
   4,863.38x = 57,741,951.41
5. Step 5: Solve for x
   x = 57,741,951.41/4,863.38
6. Step 6: Final answer
   x = 11,872.81