Finding the Third Proportional to 6,105 and 13,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105 : 13,786.50 = 13,786.50 : x
2. Step 2: Convert to fraction form
   6,105/13,786.50 = 13,786.50/x
3. Step 3: Cross multiply
   6,105x = 13,786.50 × 13,786.50
4. Step 4: Simplify right side
   6,105x = 190,067,582.25
5. Step 5: Solve for x
   x = 190,067,582.25/6,105
6. Step 6: Final answer
   x = 31,133.10