Finding the Third Proportional to 878.34 and 1,837.37

Step by Step Solution

1. Step 1: Write the proportion equation
   878.34 : 1,837.37 = 1,837.37 : x
2. Step 2: Convert to fraction form
   878.34/1,837.37 = 1,837.37/x
3. Step 3: Cross multiply
   878.34x = 1,837.37 × 1,837.37
4. Step 4: Simplify right side
   878.34x = 3,375,932.54
5. Step 5: Solve for x
   x = 3,375,932.54/878.34
6. Step 6: Final answer
   x = 3,843.52