Finding the Third Proportional to 7,744.50 and 10,964.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744.50 : 10,964.25 = 10,964.25 : x
2. Step 2: Convert to fraction form
   7,744.50/10,964.25 = 10,964.25/x
3. Step 3: Cross multiply
   7,744.50x = 10,964.25 × 10,964.25
4. Step 4: Simplify right side
   7,744.50x = 120,214,778.06
5. Step 5: Solve for x
   x = 120,214,778.06/7,744.50
6. Step 6: Final answer
   x = 15,522.60