Finding the Third Proportional to 7,222.50 and 9,605.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,222.50 : 9,605.25 = 9,605.25 : x
2. Step 2: Convert to fraction form
   7,222.50/9,605.25 = 9,605.25/x
3. Step 3: Cross multiply
   7,222.50x = 9,605.25 × 9,605.25
4. Step 4: Simplify right side
   7,222.50x = 92,260,827.56
5. Step 5: Solve for x
   x = 92,260,827.56/7,222.50
6. Step 6: Final answer
   x = 12,774.08