Finding the Third Proportional to 10,201.50 and 16,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,201.50 : 16,229.25 = 16,229.25 : x
2. Step 2: Convert to fraction form
   10,201.50/16,229.25 = 16,229.25/x
3. Step 3: Cross multiply
   10,201.50x = 16,229.25 × 16,229.25
4. Step 4: Simplify right side
   10,201.50x = 263,388,555.56
5. Step 5: Solve for x
   x = 263,388,555.56/10,201.50
6. Step 6: Final answer
   x = 25,818.61