Finding the Third Proportional to 1,757.06 and 3,837.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,757.06 : 3,837.94 = 3,837.94 : x
2. Step 2: Convert to fraction form
   1,757.06/3,837.94 = 3,837.94/x
3. Step 3: Cross multiply
   1,757.06x = 3,837.94 × 3,837.94
4. Step 4: Simplify right side
   1,757.06x = 14,729,764.25
5. Step 5: Solve for x
   x = 14,729,764.25/1,757.06
6. Step 6: Final answer
   x = 8,383.18