Finding the Third Proportional to 6,669 and 7,185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,669 : 7,185.38 = 7,185.38 : x
2. Step 2: Convert to fraction form
   6,669/7,185.38 = 7,185.38/x
3. Step 3: Cross multiply
   6,669x = 7,185.38 × 7,185.38
4. Step 4: Simplify right side
   6,669x = 51,629,613.89
5. Step 5: Solve for x
   x = 51,629,613.89/6,669
6. Step 6: Final answer
   x = 7,741.73