Finding the Third Proportional to 8,323.50 and 9,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,323.50 : 9,160.50 = 9,160.50 : x
2. Step 2: Convert to fraction form
   8,323.50/9,160.50 = 9,160.50/x
3. Step 3: Cross multiply
   8,323.50x = 9,160.50 × 9,160.50
4. Step 4: Simplify right side
   8,323.50x = 83,914,760.25
5. Step 5: Solve for x
   x = 83,914,760.25/8,323.50
6. Step 6: Final answer
   x = 10,081.67