Finding the Third Proportional to 12,877 and 19,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877 : 19,928.50 = 19,928.50 : x
2. Step 2: Convert to fraction form
   12,877/19,928.50 = 19,928.50/x
3. Step 3: Cross multiply
   12,877x = 19,928.50 × 19,928.50
4. Step 4: Simplify right side
   12,877x = 397,145,112.25
5. Step 5: Solve for x
   x = 397,145,112.25/12,877
6. Step 6: Final answer
   x = 30,841.43