Finding the Third Proportional to 3,002.38 and 4,796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.38 : 4,796.38 = 4,796.38 : x
2. Step 2: Convert to fraction form
   3,002.38/4,796.38 = 4,796.38/x
3. Step 3: Cross multiply
   3,002.38x = 4,796.38 × 4,796.38
4. Step 4: Simplify right side
   3,002.38x = 23,005,213.14
5. Step 5: Solve for x
   x = 23,005,213.14/3,002.38
6. Step 6: Final answer
   x = 7,662.34