Finding the Third Proportional to 3,772.13 and 8,119.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,772.13 : 8,119.31 = 8,119.31 : x
2. Step 2: Convert to fraction form
   3,772.13/8,119.31 = 8,119.31/x
3. Step 3: Cross multiply
   3,772.13x = 8,119.31 × 8,119.31
4. Step 4: Simplify right side
   3,772.13x = 65,923,235.47
5. Step 5: Solve for x
   x = 65,923,235.47/3,772.13
6. Step 6: Final answer
   x = 17,476.42