Finding the Third Proportional to 11,440 and 17,724

Step by Step Solution

1. Step 1: Write the proportion equation
   11,440 : 17,724 = 17,724 : x
2. Step 2: Convert to fraction form
   11,440/17,724 = 17,724/x
3. Step 3: Cross multiply
   11,440x = 17,724 × 17,724
4. Step 4: Simplify right side
   11,440x = 314,140,176
5. Step 5: Solve for x
   x = 314,140,176/11,440
6. Step 6: Final answer
   x = 27,459.81