Finding the Third Proportional to 9,409.50 and 12,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,409.50 : 12,919.50 = 12,919.50 : x
2. Step 2: Convert to fraction form
   9,409.50/12,919.50 = 12,919.50/x
3. Step 3: Cross multiply
   9,409.50x = 12,919.50 × 12,919.50
4. Step 4: Simplify right side
   9,409.50x = 166,913,480.25
5. Step 5: Solve for x
   x = 166,913,480.25/9,409.50
6. Step 6: Final answer
   x = 17,738.83