Finding the Third Proportional to 9,609 and 12,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,609 : 12,826.50 = 12,826.50 : x
2. Step 2: Convert to fraction form
   9,609/12,826.50 = 12,826.50/x
3. Step 3: Cross multiply
   9,609x = 12,826.50 × 12,826.50
4. Step 4: Simplify right side
   9,609x = 164,519,102.25
5. Step 5: Solve for x
   x = 164,519,102.25/9,609
6. Step 6: Final answer
   x = 17,121.36