Finding the Third Proportional to 11,749 and 17,128

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749 : 17,128 = 17,128 : x
2. Step 2: Convert to fraction form
   11,749/17,128 = 17,128/x
3. Step 3: Cross multiply
   11,749x = 17,128 × 17,128
4. Step 4: Simplify right side
   11,749x = 293,368,384
5. Step 5: Solve for x
   x = 293,368,384/11,749
6. Step 6: Final answer
   x = 24,969.65