Finding the Third Proportional to 8,581.50 and 9,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,581.50 : 9,715.50 = 9,715.50 : x
2. Step 2: Convert to fraction form
   8,581.50/9,715.50 = 9,715.50/x
3. Step 3: Cross multiply
   8,581.50x = 9,715.50 × 9,715.50
4. Step 4: Simplify right side
   8,581.50x = 94,390,940.25
5. Step 5: Solve for x
   x = 94,390,940.25/8,581.50
6. Step 6: Final answer
   x = 10,999.35