Finding the Third Proportional to 3,244.50 and 4,896.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,244.50 : 4,896.56 = 4,896.56 : x
2. Step 2: Convert to fraction form
   3,244.50/4,896.56 = 4,896.56/x
3. Step 3: Cross multiply
   3,244.50x = 4,896.56 × 4,896.56
4. Step 4: Simplify right side
   3,244.50x = 23,976,324.32
5. Step 5: Solve for x
   x = 23,976,324.32/3,244.50
6. Step 6: Final answer
   x = 7,389.84