Finding the Third Proportional to 10,864 and 16,590

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 16,590 = 16,590 : x
2. Step 2: Convert to fraction form
   10,864/16,590 = 16,590/x
3. Step 3: Cross multiply
   10,864x = 16,590 × 16,590
4. Step 4: Simplify right side
   10,864x = 275,228,100
5. Step 5: Solve for x
   x = 275,228,100/10,864
6. Step 6: Final answer
   x = 25,333.96