Finding the Third Proportional to 9,506.75 and 12,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506.75 : 12,616.50 = 12,616.50 : x
2. Step 2: Convert to fraction form
   9,506.75/12,616.50 = 12,616.50/x
3. Step 3: Cross multiply
   9,506.75x = 12,616.50 × 12,616.50
4. Step 4: Simplify right side
   9,506.75x = 159,176,072.25
5. Step 5: Solve for x
   x = 159,176,072.25/9,506.75
6. Step 6: Final answer
   x = 16,743.48