Finding the Third Proportional to 10,724 and 17,760

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 17,760 = 17,760 : x
2. Step 2: Convert to fraction form
   10,724/17,760 = 17,760/x
3. Step 3: Cross multiply
   10,724x = 17,760 × 17,760
4. Step 4: Simplify right side
   10,724x = 315,417,600
5. Step 5: Solve for x
   x = 315,417,600/10,724
6. Step 6: Final answer
   x = 29,412.31