Finding the Third Proportional to 8,500 and 13,590

Step by Step Solution

1. Step 1: Write the proportion equation
   8,500 : 13,590 = 13,590 : x
2. Step 2: Convert to fraction form
   8,500/13,590 = 13,590/x
3. Step 3: Cross multiply
   8,500x = 13,590 × 13,590
4. Step 4: Simplify right side
   8,500x = 184,688,100
5. Step 5: Solve for x
   x = 184,688,100/8,500
6. Step 6: Final answer
   x = 21,728.01