Finding the Third Proportional to 3,791.81 and 8,188.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,791.81 : 8,188.59 = 8,188.59 : x
2. Step 2: Convert to fraction form
   3,791.81/8,188.59 = 8,188.59/x
3. Step 3: Cross multiply
   3,791.81x = 8,188.59 × 8,188.59
4. Step 4: Simplify right side
   3,791.81x = 67,053,067.60
5. Step 5: Solve for x
   x = 67,053,067.60/3,791.81
6. Step 6: Final answer
   x = 17,683.65