Finding the Third Proportional to 4,598.81 and 7,286.91

Step by Step Solution

1. Step 1: Write the proportion equation
   4,598.81 : 7,286.91 = 7,286.91 : x
2. Step 2: Convert to fraction form
   4,598.81/7,286.91 = 7,286.91/x
3. Step 3: Cross multiply
   4,598.81x = 7,286.91 × 7,286.91
4. Step 4: Simplify right side
   4,598.81x = 53,099,002.70
5. Step 5: Solve for x
   x = 53,099,002.70/4,598.81
6. Step 6: Final answer
   x = 11,546.24