Finding the Third Proportional to 8,343 and 9,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,343 : 9,436.50 = 9,436.50 : x
2. Step 2: Convert to fraction form
   8,343/9,436.50 = 9,436.50/x
3. Step 3: Cross multiply
   8,343x = 9,436.50 × 9,436.50
4. Step 4: Simplify right side
   8,343x = 89,047,532.25
5. Step 5: Solve for x
   x = 89,047,532.25/8,343
6. Step 6: Final answer
   x = 10,673.32