Finding the Third Proportional to 8,271 and 12,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,271 : 12,646.50 = 12,646.50 : x
2. Step 2: Convert to fraction form
   8,271/12,646.50 = 12,646.50/x
3. Step 3: Cross multiply
   8,271x = 12,646.50 × 12,646.50
4. Step 4: Simplify right side
   8,271x = 159,933,962.25
5. Step 5: Solve for x
   x = 159,933,962.25/8,271
6. Step 6: Final answer
   x = 19,336.71