Finding the Third Proportional to 8,409 and 10,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,409 : 10,993.50 = 10,993.50 : x
2. Step 2: Convert to fraction form
   8,409/10,993.50 = 10,993.50/x
3. Step 3: Cross multiply
   8,409x = 10,993.50 × 10,993.50
4. Step 4: Simplify right side
   8,409x = 120,857,042.25
5. Step 5: Solve for x
   x = 120,857,042.25/8,409
6. Step 6: Final answer
   x = 14,372.34