Finding the Third Proportional to 9,585 and 12,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 12,676.50 = 12,676.50 : x
2. Step 2: Convert to fraction form
   9,585/12,676.50 = 12,676.50/x
3. Step 3: Cross multiply
   9,585x = 12,676.50 × 12,676.50
4. Step 4: Simplify right side
   9,585x = 160,693,652.25
5. Step 5: Solve for x
   x = 160,693,652.25/9,585
6. Step 6: Final answer
   x = 16,765.12