Finding the Third Proportional to 3,003.75 and 7,698.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,003.75 : 7,698.38 = 7,698.38 : x
2. Step 2: Convert to fraction form
   3,003.75/7,698.38 = 7,698.38/x
3. Step 3: Cross multiply
   3,003.75x = 7,698.38 × 7,698.38
4. Step 4: Simplify right side
   3,003.75x = 59,264,977.64
5. Step 5: Solve for x
   x = 59,264,977.64/3,003.75
6. Step 6: Final answer
   x = 19,730.33