Finding the Third Proportional to 10,156 and 13,286

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 13,286 = 13,286 : x
2. Step 2: Convert to fraction form
   10,156/13,286 = 13,286/x
3. Step 3: Cross multiply
   10,156x = 13,286 × 13,286
4. Step 4: Simplify right side
   10,156x = 176,517,796
5. Step 5: Solve for x
   x = 176,517,796/10,156
6. Step 6: Final answer
   x = 17,380.64