Finding the Third Proportional to 8,181 and 12,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,181 : 12,628.50 = 12,628.50 : x
2. Step 2: Convert to fraction form
   8,181/12,628.50 = 12,628.50/x
3. Step 3: Cross multiply
   8,181x = 12,628.50 × 12,628.50
4. Step 4: Simplify right side
   8,181x = 159,479,012.25
5. Step 5: Solve for x
   x = 159,479,012.25/8,181
6. Step 6: Final answer
   x = 19,493.83