Finding the Third Proportional to 7,224 and 9,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,224 : 9,436.50 = 9,436.50 : x
2. Step 2: Convert to fraction form
   7,224/9,436.50 = 9,436.50/x
3. Step 3: Cross multiply
   7,224x = 9,436.50 × 9,436.50
4. Step 4: Simplify right side
   7,224x = 89,047,532.25
5. Step 5: Solve for x
   x = 89,047,532.25/7,224
6. Step 6: Final answer
   x = 12,326.62