Finding the Third Proportional to 9,813 and 12,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,813 : 12,856.50 = 12,856.50 : x
2. Step 2: Convert to fraction form
   9,813/12,856.50 = 12,856.50/x
3. Step 3: Cross multiply
   9,813x = 12,856.50 × 12,856.50
4. Step 4: Simplify right side
   9,813x = 165,289,592.25
5. Step 5: Solve for x
   x = 165,289,592.25/9,813
6. Step 6: Final answer
   x = 16,843.94