Finding the Third Proportional to 4,576.50 and 10,099.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,576.50 : 10,099.69 = 10,099.69 : x
2. Step 2: Convert to fraction form
   4,576.50/10,099.69 = 10,099.69/x
3. Step 3: Cross multiply
   4,576.50x = 10,099.69 × 10,099.69
4. Step 4: Simplify right side
   4,576.50x = 102,003,687.60
5. Step 5: Solve for x
   x = 102,003,687.60/4,576.50
6. Step 6: Final answer
   x = 22,288.58