Finding the Third Proportional to 6,582 and 7,238

Step by Step Solution

1. Step 1: Write the proportion equation
   6,582 : 7,238 = 7,238 : x
2. Step 2: Convert to fraction form
   6,582/7,238 = 7,238/x
3. Step 3: Cross multiply
   6,582x = 7,238 × 7,238
4. Step 4: Simplify right side
   6,582x = 52,388,644
5. Step 5: Solve for x
   x = 52,388,644/6,582
6. Step 6: Final answer
   x = 7,959.38