Finding the Third Proportional to 3,837.25 and 8,406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837.25 : 8,406.25 = 8,406.25 : x
2. Step 2: Convert to fraction form
   3,837.25/8,406.25 = 8,406.25/x
3. Step 3: Cross multiply
   3,837.25x = 8,406.25 × 8,406.25
4. Step 4: Simplify right side
   3,837.25x = 70,665,039.06
5. Step 5: Solve for x
   x = 70,665,039.06/3,837.25
6. Step 6: Final answer
   x = 18,415.54