Finding the Third Proportional to 12,800.50 and 19,813

Step by Step Solution

1. Step 1: Write the proportion equation
   12,800.50 : 19,813 = 19,813 : x
2. Step 2: Convert to fraction form
   12,800.50/19,813 = 19,813/x
3. Step 3: Cross multiply
   12,800.50x = 19,813 × 19,813
4. Step 4: Simplify right side
   12,800.50x = 392,554,969
5. Step 5: Solve for x
   x = 392,554,969/12,800.50
6. Step 6: Final answer
   x = 30,667.16