Finding the Third Proportional to 10,609.50 and 16,253.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,609.50 : 16,253.25 = 16,253.25 : x
2. Step 2: Convert to fraction form
   10,609.50/16,253.25 = 16,253.25/x
3. Step 3: Cross multiply
   10,609.50x = 16,253.25 × 16,253.25
4. Step 4: Simplify right side
   10,609.50x = 264,168,135.56
5. Step 5: Solve for x
   x = 264,168,135.56/10,609.50
6. Step 6: Final answer
   x = 24,899.21