Finding the Third Proportional to 10,872 and 16,400.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872 : 16,400.25 = 16,400.25 : x
2. Step 2: Convert to fraction form
   10,872/16,400.25 = 16,400.25/x
3. Step 3: Cross multiply
   10,872x = 16,400.25 × 16,400.25
4. Step 4: Simplify right side
   10,872x = 268,968,200.06
5. Step 5: Solve for x
   x = 268,968,200.06/10,872
6. Step 6: Final answer
   x = 24,739.53