Finding the Third Proportional to 11,488 and 17,674

Step by Step Solution

1. Step 1: Write the proportion equation
   11,488 : 17,674 = 17,674 : x
2. Step 2: Convert to fraction form
   11,488/17,674 = 17,674/x
3. Step 3: Cross multiply
   11,488x = 17,674 × 17,674
4. Step 4: Simplify right side
   11,488x = 312,370,276
5. Step 5: Solve for x
   x = 312,370,276/11,488
6. Step 6: Final answer
   x = 27,191.01