Finding the Third Proportional to 4,338.14 and 9,528.89

Step by Step Solution

1. Step 1: Write the proportion equation
   4,338.14 : 9,528.89 = 9,528.89 : x
2. Step 2: Convert to fraction form
   4,338.14/9,528.89 = 9,528.89/x
3. Step 3: Cross multiply
   4,338.14x = 9,528.89 × 9,528.89
4. Step 4: Simplify right side
   4,338.14x = 90,799,756.54
5. Step 5: Solve for x
   x = 90,799,756.54/4,338.14
6. Step 6: Final answer
   x = 20,930.57