Finding the Third Proportional to 11,460 and 17,686

Step by Step Solution

1. Step 1: Write the proportion equation
   11,460 : 17,686 = 17,686 : x
2. Step 2: Convert to fraction form
   11,460/17,686 = 17,686/x
3. Step 3: Cross multiply
   11,460x = 17,686 × 17,686
4. Step 4: Simplify right side
   11,460x = 312,794,596
5. Step 5: Solve for x
   x = 312,794,596/11,460
6. Step 6: Final answer
   x = 27,294.47