Finding the Third Proportional to 6,441 and 10,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,441 : 10,315.50 = 10,315.50 : x
2. Step 2: Convert to fraction form
   6,441/10,315.50 = 10,315.50/x
3. Step 3: Cross multiply
   6,441x = 10,315.50 × 10,315.50
4. Step 4: Simplify right side
   6,441x = 106,409,540.25
5. Step 5: Solve for x
   x = 106,409,540.25/6,441
6. Step 6: Final answer
   x = 16,520.66