Finding the Third Proportional to 8,815.50 and 9,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,815.50 : 9,823.50 = 9,823.50 : x
2. Step 2: Convert to fraction form
   8,815.50/9,823.50 = 9,823.50/x
3. Step 3: Cross multiply
   8,815.50x = 9,823.50 × 9,823.50
4. Step 4: Simplify right side
   8,815.50x = 96,501,152.25
5. Step 5: Solve for x
   x = 96,501,152.25/8,815.50
6. Step 6: Final answer
   x = 10,946.76