Finding the Third Proportional to 10,398 and 16,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398 : 16,339.50 = 16,339.50 : x
2. Step 2: Convert to fraction form
   10,398/16,339.50 = 16,339.50/x
3. Step 3: Cross multiply
   10,398x = 16,339.50 × 16,339.50
4. Step 4: Simplify right side
   10,398x = 266,979,260.25
5. Step 5: Solve for x
   x = 266,979,260.25/10,398
6. Step 6: Final answer
   x = 25,676.02