Finding the Third Proportional to 11,606 and 18,686

Step by Step Solution

1. Step 1: Write the proportion equation
   11,606 : 18,686 = 18,686 : x
2. Step 2: Convert to fraction form
   11,606/18,686 = 18,686/x
3. Step 3: Cross multiply
   11,606x = 18,686 × 18,686
4. Step 4: Simplify right side
   11,606x = 349,166,596
5. Step 5: Solve for x
   x = 349,166,596/11,606
6. Step 6: Final answer
   x = 30,085.01