Finding the Third Proportional to 2,374 and 4,238

Step by Step Solution

1. Step 1: Write the proportion equation
   2,374 : 4,238 = 4,238 : x
2. Step 2: Convert to fraction form
   2,374/4,238 = 4,238/x
3. Step 3: Cross multiply
   2,374x = 4,238 × 4,238
4. Step 4: Simplify right side
   2,374x = 17,960,644
5. Step 5: Solve for x
   x = 17,960,644/2,374
6. Step 6: Final answer
   x = 7,565.56