Finding the Third Proportional to 3,274.25 and 5,007

Step by Step Solution

1. Step 1: Write the proportion equation
   3,274.25 : 5,007 = 5,007 : x
2. Step 2: Convert to fraction form
   3,274.25/5,007 = 5,007/x
3. Step 3: Cross multiply
   3,274.25x = 5,007 × 5,007
4. Step 4: Simplify right side
   3,274.25x = 25,070,049
5. Step 5: Solve for x
   x = 25,070,049/3,274.25
6. Step 6: Final answer
   x = 7,656.73