Finding the Third Proportional to 7,196 and 9,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,196 : 9,466.50 = 9,466.50 : x
2. Step 2: Convert to fraction form
   7,196/9,466.50 = 9,466.50/x
3. Step 3: Cross multiply
   7,196x = 9,466.50 × 9,466.50
4. Step 4: Simplify right side
   7,196x = 89,614,622.25
5. Step 5: Solve for x
   x = 89,614,622.25/7,196
6. Step 6: Final answer
   x = 12,453.39