Finding the Third Proportional to 8,536 and 12,200

Step by Step Solution

1. Step 1: Write the proportion equation
   8,536 : 12,200 = 12,200 : x
2. Step 2: Convert to fraction form
   8,536/12,200 = 12,200/x
3. Step 3: Cross multiply
   8,536x = 12,200 × 12,200
4. Step 4: Simplify right side
   8,536x = 148,840,000
5. Step 5: Solve for x
   x = 148,840,000/8,536
6. Step 6: Final answer
   x = 17,436.74