Finding the Third Proportional to 3,199.78 and 5,008.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,199.78 : 5,008.69 = 5,008.69 : x
2. Step 2: Convert to fraction form
   3,199.78/5,008.69 = 5,008.69/x
3. Step 3: Cross multiply
   3,199.78x = 5,008.69 × 5,008.69
4. Step 4: Simplify right side
   3,199.78x = 25,086,950.47
5. Step 5: Solve for x
   x = 25,086,950.47/3,199.78
6. Step 6: Final answer
   x = 7,840.21