Finding the Third Proportional to 8,500 and 13,574

Step by Step Solution

1. Step 1: Write the proportion equation
   8,500 : 13,574 = 13,574 : x
2. Step 2: Convert to fraction form
   8,500/13,574 = 13,574/x
3. Step 3: Cross multiply
   8,500x = 13,574 × 13,574
4. Step 4: Simplify right side
   8,500x = 184,253,476
5. Step 5: Solve for x
   x = 184,253,476/8,500
6. Step 6: Final answer
   x = 21,676.88