Finding the Third Proportional to 8,536 and 10,360

Step by Step Solution

1. Step 1: Write the proportion equation
   8,536 : 10,360 = 10,360 : x
2. Step 2: Convert to fraction form
   8,536/10,360 = 10,360/x
3. Step 3: Cross multiply
   8,536x = 10,360 × 10,360
4. Step 4: Simplify right side
   8,536x = 107,329,600
5. Step 5: Solve for x
   x = 107,329,600/8,536
6. Step 6: Final answer
   x = 12,573.76