Finding the Third Proportional to 2,034.29 and 4,459.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034.29 : 4,459.43 = 4,459.43 : x
2. Step 2: Convert to fraction form
   2,034.29/4,459.43 = 4,459.43/x
3. Step 3: Cross multiply
   2,034.29x = 4,459.43 × 4,459.43
4. Step 4: Simplify right side
   2,034.29x = 19,886,513.14
5. Step 5: Solve for x
   x = 19,886,513.14/2,034.29
6. Step 6: Final answer
   x = 9,775.63