Finding the Third Proportional to 8,500 and 13,222

Step by Step Solution

1. Step 1: Write the proportion equation
   8,500 : 13,222 = 13,222 : x
2. Step 2: Convert to fraction form
   8,500/13,222 = 13,222/x
3. Step 3: Cross multiply
   8,500x = 13,222 × 13,222
4. Step 4: Simplify right side
   8,500x = 174,821,284
5. Step 5: Solve for x
   x = 174,821,284/8,500
6. Step 6: Final answer
   x = 20,567.21