Finding the Third Proportional to 10,340 and 13,238

Step by Step Solution

1. Step 1: Write the proportion equation
   10,340 : 13,238 = 13,238 : x
2. Step 2: Convert to fraction form
   10,340/13,238 = 13,238/x
3. Step 3: Cross multiply
   10,340x = 13,238 × 13,238
4. Step 4: Simplify right side
   10,340x = 175,244,644
5. Step 5: Solve for x
   x = 175,244,644/10,340
6. Step 6: Final answer
   x = 16,948.22