Finding the Third Proportional to 10,733 and 16,586

Step by Step Solution

1. Step 1: Write the proportion equation
   10,733 : 16,586 = 16,586 : x
2. Step 2: Convert to fraction form
   10,733/16,586 = 16,586/x
3. Step 3: Cross multiply
   10,733x = 16,586 × 16,586
4. Step 4: Simplify right side
   10,733x = 275,095,396
5. Step 5: Solve for x
   x = 275,095,396/10,733
6. Step 6: Final answer
   x = 25,630.80