Finding the Third Proportional to 6,352 and 12,238

Step by Step Solution

1. Step 1: Write the proportion equation
   6,352 : 12,238 = 12,238 : x
2. Step 2: Convert to fraction form
   6,352/12,238 = 12,238/x
3. Step 3: Cross multiply
   6,352x = 12,238 × 12,238
4. Step 4: Simplify right side
   6,352x = 149,768,644
5. Step 5: Solve for x
   x = 149,768,644/6,352
6. Step 6: Final answer
   x = 23,578.19