Finding the Third Proportional to 9,826.31 and 12,765.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.31 : 12,765.09 = 12,765.09 : x
2. Step 2: Convert to fraction form
   9,826.31/12,765.09 = 12,765.09/x
3. Step 3: Cross multiply
   9,826.31x = 12,765.09 × 12,765.09
4. Step 4: Simplify right side
   9,826.31x = 162,947,618.45
5. Step 5: Solve for x
   x = 162,947,618.45/9,826.31
6. Step 6: Final answer
   x = 16,582.78