Finding the Third Proportional to 8,536 and 12,752

Step by Step Solution

1. Step 1: Write the proportion equation
   8,536 : 12,752 = 12,752 : x
2. Step 2: Convert to fraction form
   8,536/12,752 = 12,752/x
3. Step 3: Cross multiply
   8,536x = 12,752 × 12,752
4. Step 4: Simplify right side
   8,536x = 162,613,504
5. Step 5: Solve for x
   x = 162,613,504/8,536
6. Step 6: Final answer
   x = 19,050.32