Finding the Third Proportional to 2,084.81 and 4,488.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.81 : 4,488.56 = 4,488.56 : x
2. Step 2: Convert to fraction form
   2,084.81/4,488.56 = 4,488.56/x
3. Step 3: Cross multiply
   2,084.81x = 4,488.56 × 4,488.56
4. Step 4: Simplify right side
   2,084.81x = 20,147,193.32
5. Step 5: Solve for x
   x = 20,147,193.32/2,084.81
6. Step 6: Final answer
   x = 9,663.79