Finding the Third Proportional to 4,638.09 and 7,021.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,638.09 : 7,021.69 = 7,021.69 : x
2. Step 2: Convert to fraction form
   4,638.09/7,021.69 = 7,021.69/x
3. Step 3: Cross multiply
   4,638.09x = 7,021.69 × 7,021.69
4. Step 4: Simplify right side
   4,638.09x = 49,304,095.35
5. Step 5: Solve for x
   x = 49,304,095.35/4,638.09
6. Step 6: Final answer
   x = 10,630.25