Finding the Third Proportional to 8,299.50 and 9,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,299.50 : 9,109.50 = 9,109.50 : x
2. Step 2: Convert to fraction form
   8,299.50/9,109.50 = 9,109.50/x
3. Step 3: Cross multiply
   8,299.50x = 9,109.50 × 9,109.50
4. Step 4: Simplify right side
   8,299.50x = 82,982,990.25
5. Step 5: Solve for x
   x = 82,982,990.25/8,299.50
6. Step 6: Final answer
   x = 9,998.55