Finding the Third Proportional to 5,648 and 7,384

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 7,384 = 7,384 : x
2. Step 2: Convert to fraction form
   5,648/7,384 = 7,384/x
3. Step 3: Cross multiply
   5,648x = 7,384 × 7,384
4. Step 4: Simplify right side
   5,648x = 54,523,456
5. Step 5: Solve for x
   x = 54,523,456/5,648
6. Step 6: Final answer
   x = 9,653.59