Finding the Third Proportional to 11,682 and 17,957.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,682 : 17,957.25 = 17,957.25 : x
2. Step 2: Convert to fraction form
   11,682/17,957.25 = 17,957.25/x
3. Step 3: Cross multiply
   11,682x = 17,957.25 × 17,957.25
4. Step 4: Simplify right side
   11,682x = 322,462,827.56
5. Step 5: Solve for x
   x = 322,462,827.56/11,682
6. Step 6: Final answer
   x = 27,603.39