Finding the Third Proportional to 11,074 and 17,531

Step by Step Solution

1. Step 1: Write the proportion equation
   11,074 : 17,531 = 17,531 : x
2. Step 2: Convert to fraction form
   11,074/17,531 = 17,531/x
3. Step 3: Cross multiply
   11,074x = 17,531 × 17,531
4. Step 4: Simplify right side
   11,074x = 307,335,961
5. Step 5: Solve for x
   x = 307,335,961/11,074
6. Step 6: Final answer
   x = 27,752.93