Finding the Third Proportional to 10,724 and 17,686

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 17,686 = 17,686 : x
2. Step 2: Convert to fraction form
   10,724/17,686 = 17,686/x
3. Step 3: Cross multiply
   10,724x = 17,686 × 17,686
4. Step 4: Simplify right side
   10,724x = 312,794,596
5. Step 5: Solve for x
   x = 312,794,596/10,724
6. Step 6: Final answer
   x = 29,167.72