Finding the Third Proportional to 4,678.88 and 7,066.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,678.88 : 7,066.69 = 7,066.69 : x
2. Step 2: Convert to fraction form
   4,678.88/7,066.69 = 7,066.69/x
3. Step 3: Cross multiply
   4,678.88x = 7,066.69 × 7,066.69
4. Step 4: Simplify right side
   4,678.88x = 49,938,072.22
5. Step 5: Solve for x
   x = 49,938,072.22/4,678.88
6. Step 6: Final answer
   x = 10,673.09