Finding the Third Proportional to 11,474 and 17,659

Step by Step Solution

1. Step 1: Write the proportion equation
   11,474 : 17,659 = 17,659 : x
2. Step 2: Convert to fraction form
   11,474/17,659 = 17,659/x
3. Step 3: Cross multiply
   11,474x = 17,659 × 17,659
4. Step 4: Simplify right side
   11,474x = 311,840,281
5. Step 5: Solve for x
   x = 311,840,281/11,474
6. Step 6: Final answer
   x = 27,177.99