Finding the Third Proportional to 8,329.50 and 9,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,329.50 : 9,706.50 = 9,706.50 : x
2. Step 2: Convert to fraction form
   8,329.50/9,706.50 = 9,706.50/x
3. Step 3: Cross multiply
   8,329.50x = 9,706.50 × 9,706.50
4. Step 4: Simplify right side
   8,329.50x = 94,216,142.25
5. Step 5: Solve for x
   x = 94,216,142.25/8,329.50
6. Step 6: Final answer
   x = 11,311.14