Finding the Third Proportional to 3,825.25 and 8,106.13

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.25 : 8,106.13 = 8,106.13 : x
2. Step 2: Convert to fraction form
   3,825.25/8,106.13 = 8,106.13/x
3. Step 3: Cross multiply
   3,825.25x = 8,106.13 × 8,106.13
4. Step 4: Simplify right side
   3,825.25x = 65,709,262.52
5. Step 5: Solve for x
   x = 65,709,262.52/3,825.25
6. Step 6: Final answer
   x = 17,177.77