Finding the Third Proportional to 3,768.40 and 8,186.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.40 : 8,186.06 = 8,186.06 : x
2. Step 2: Convert to fraction form
   3,768.40/8,186.06 = 8,186.06/x
3. Step 3: Cross multiply
   3,768.40x = 8,186.06 × 8,186.06
4. Step 4: Simplify right side
   3,768.40x = 67,011,619.25
5. Step 5: Solve for x
   x = 67,011,619.25/3,768.40
6. Step 6: Final answer
   x = 17,782.52