Finding the Third Proportional to 6,356 and 10,334

Step by Step Solution

1. Step 1: Write the proportion equation
   6,356 : 10,334 = 10,334 : x
2. Step 2: Convert to fraction form
   6,356/10,334 = 10,334/x
3. Step 3: Cross multiply
   6,356x = 10,334 × 10,334
4. Step 4: Simplify right side
   6,356x = 106,791,556
5. Step 5: Solve for x
   x = 106,791,556/6,356
6. Step 6: Final answer
   x = 16,801.69