Finding the Third Proportional to 8,623.50 and 9,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,623.50 : 9,514.50 = 9,514.50 : x
2. Step 2: Convert to fraction form
   8,623.50/9,514.50 = 9,514.50/x
3. Step 3: Cross multiply
   8,623.50x = 9,514.50 × 9,514.50
4. Step 4: Simplify right side
   8,623.50x = 90,525,710.25
5. Step 5: Solve for x
   x = 90,525,710.25/8,623.50
6. Step 6: Final answer
   x = 10,497.56