Finding the Third Proportional to 4,576.50 and 7,274.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,576.50 : 7,274.81 = 7,274.81 : x
2. Step 2: Convert to fraction form
   4,576.50/7,274.81 = 7,274.81/x
3. Step 3: Cross multiply
   4,576.50x = 7,274.81 × 7,274.81
4. Step 4: Simplify right side
   4,576.50x = 52,922,896.91
5. Step 5: Solve for x
   x = 52,922,896.91/4,576.50
6. Step 6: Final answer
   x = 11,564.05