Finding the Third Proportional to 7,744.50 and 8,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744.50 : 8,896.50 = 8,896.50 : x
2. Step 2: Convert to fraction form
   7,744.50/8,896.50 = 8,896.50/x
3. Step 3: Cross multiply
   7,744.50x = 8,896.50 × 8,896.50
4. Step 4: Simplify right side
   7,744.50x = 79,147,712.25
5. Step 5: Solve for x
   x = 79,147,712.25/7,744.50
6. Step 6: Final answer
   x = 10,219.86