Finding the Third Proportional to 6,381 and 10,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,381 : 10,243.50 = 10,243.50 : x
2. Step 2: Convert to fraction form
   6,381/10,243.50 = 10,243.50/x
3. Step 3: Cross multiply
   6,381x = 10,243.50 × 10,243.50
4. Step 4: Simplify right side
   6,381x = 104,929,292.25
5. Step 5: Solve for x
   x = 104,929,292.25/6,381
6. Step 6: Final answer
   x = 16,444.02