Finding the Third Proportional to 10,211.50 and 16,289.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,211.50 : 16,289.25 = 16,289.25 : x
2. Step 2: Convert to fraction form
   10,211.50/16,289.25 = 16,289.25/x
3. Step 3: Cross multiply
   10,211.50x = 16,289.25 × 16,289.25
4. Step 4: Simplify right side
   10,211.50x = 265,339,665.56
5. Step 5: Solve for x
   x = 265,339,665.56/10,211.50
6. Step 6: Final answer
   x = 25,984.40