Finding the Third Proportional to 11,470 and 17,636

Step by Step Solution

1. Step 1: Write the proportion equation
   11,470 : 17,636 = 17,636 : x
2. Step 2: Convert to fraction form
   11,470/17,636 = 17,636/x
3. Step 3: Cross multiply
   11,470x = 17,636 × 17,636
4. Step 4: Simplify right side
   11,470x = 311,028,496
5. Step 5: Solve for x
   x = 311,028,496/11,470
6. Step 6: Final answer
   x = 27,116.70