Finding the Third Proportional to 5,384 and 5,960

Step by Step Solution

1. Step 1: Write the proportion equation
   5,384 : 5,960 = 5,960 : x
2. Step 2: Convert to fraction form
   5,384/5,960 = 5,960/x
3. Step 3: Cross multiply
   5,384x = 5,960 × 5,960
4. Step 4: Simplify right side
   5,384x = 35,521,600
5. Step 5: Solve for x
   x = 35,521,600/5,384
6. Step 6: Final answer
   x = 6,597.62