Finding the Third Proportional to 9,219 and 12,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,219 : 12,259.50 = 12,259.50 : x
2. Step 2: Convert to fraction form
   9,219/12,259.50 = 12,259.50/x
3. Step 3: Cross multiply
   9,219x = 12,259.50 × 12,259.50
4. Step 4: Simplify right side
   9,219x = 150,295,340.25
5. Step 5: Solve for x
   x = 150,295,340.25/9,219
6. Step 6: Final answer
   x = 16,302.78