Finding the Third Proportional to 4,744 and 7,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,744 : 7,089.50 = 7,089.50 : x
2. Step 2: Convert to fraction form
   4,744/7,089.50 = 7,089.50/x
3. Step 3: Cross multiply
   4,744x = 7,089.50 × 7,089.50
4. Step 4: Simplify right side
   4,744x = 50,261,010.25
5. Step 5: Solve for x
   x = 50,261,010.25/4,744
6. Step 6: Final answer
   x = 10,594.65