Finding the Third Proportional to 11,485 and 17,747

Step by Step Solution

1. Step 1: Write the proportion equation
   11,485 : 17,747 = 17,747 : x
2. Step 2: Convert to fraction form
   11,485/17,747 = 17,747/x
3. Step 3: Cross multiply
   11,485x = 17,747 × 17,747
4. Step 4: Simplify right side
   11,485x = 314,956,009
5. Step 5: Solve for x
   x = 314,956,009/11,485
6. Step 6: Final answer
   x = 27,423.25