Finding the Third Proportional to 11,636 and 17,230

Step by Step Solution

1. Step 1: Write the proportion equation
   11,636 : 17,230 = 17,230 : x
2. Step 2: Convert to fraction form
   11,636/17,230 = 17,230/x
3. Step 3: Cross multiply
   11,636x = 17,230 × 17,230
4. Step 4: Simplify right side
   11,636x = 296,872,900
5. Step 5: Solve for x
   x = 296,872,900/11,636
6. Step 6: Final answer
   x = 25,513.31