Finding the Third Proportional to 3,781.69 and 7,266.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 7,266.38 = 7,266.38 : x
2. Step 2: Convert to fraction form
   3,781.69/7,266.38 = 7,266.38/x
3. Step 3: Cross multiply
   3,781.69x = 7,266.38 × 7,266.38
4. Step 4: Simplify right side
   3,781.69x = 52,800,205.64
5. Step 5: Solve for x
   x = 52,800,205.64/3,781.69
6. Step 6: Final answer
   x = 13,962.08