Finding the Third Proportional to 2,506.50 and 5,421.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.50 : 5,421.38 = 5,421.38 : x
2. Step 2: Convert to fraction form
   2,506.50/5,421.38 = 5,421.38/x
3. Step 3: Cross multiply
   2,506.50x = 5,421.38 × 5,421.38
4. Step 4: Simplify right side
   2,506.50x = 29,391,306.89
5. Step 5: Solve for x
   x = 29,391,306.89/2,506.50
6. Step 6: Final answer
   x = 11,726.04