Finding the Third Proportional to 12,834 and 19,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 19,804.50 = 19,804.50 : x
2. Step 2: Convert to fraction form
   12,834/19,804.50 = 19,804.50/x
3. Step 3: Cross multiply
   12,834x = 19,804.50 × 19,804.50
4. Step 4: Simplify right side
   12,834x = 392,218,220.25
5. Step 5: Solve for x
   x = 392,218,220.25/12,834
6. Step 6: Final answer
   x = 30,560.87