Finding the Third Proportional to 10,828.69 and 16,240.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828.69 : 16,240.50 = 16,240.50 : x
2. Step 2: Convert to fraction form
   10,828.69/16,240.50 = 16,240.50/x
3. Step 3: Cross multiply
   10,828.69x = 16,240.50 × 16,240.50
4. Step 4: Simplify right side
   10,828.69x = 263,753,840.25
5. Step 5: Solve for x
   x = 263,753,840.25/10,828.69
6. Step 6: Final answer
   x = 24,356.95