Finding the Third Proportional to 10,442.50 and 16,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442.50 : 16,162.25 = 16,162.25 : x
2. Step 2: Convert to fraction form
   10,442.50/16,162.25 = 16,162.25/x
3. Step 3: Cross multiply
   10,442.50x = 16,162.25 × 16,162.25
4. Step 4: Simplify right side
   10,442.50x = 261,218,325.06
5. Step 5: Solve for x
   x = 261,218,325.06/10,442.50
6. Step 6: Final answer
   x = 25,014.92