Finding the Third Proportional to 11,656 and 18,636

Step by Step Solution

1. Step 1: Write the proportion equation
   11,656 : 18,636 = 18,636 : x
2. Step 2: Convert to fraction form
   11,656/18,636 = 18,636/x
3. Step 3: Cross multiply
   11,656x = 18,636 × 18,636
4. Step 4: Simplify right side
   11,656x = 347,300,496
5. Step 5: Solve for x
   x = 347,300,496/11,656
6. Step 6: Final answer
   x = 29,795.86