Finding the Third Proportional to 11,682.75 and 17,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,682.75 : 17,494.50 = 17,494.50 : x
2. Step 2: Convert to fraction form
   11,682.75/17,494.50 = 17,494.50/x
3. Step 3: Cross multiply
   11,682.75x = 17,494.50 × 17,494.50
4. Step 4: Simplify right side
   11,682.75x = 306,057,530.25
5. Step 5: Solve for x
   x = 306,057,530.25/11,682.75
6. Step 6: Final answer
   x = 26,197.39