Finding the Third Proportional to 877 and 1,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   877 : 1,892.25 = 1,892.25 : x
2. Step 2: Convert to fraction form
   877/1,892.25 = 1,892.25/x
3. Step 3: Cross multiply
   877x = 1,892.25 × 1,892.25
4. Step 4: Simplify right side
   877x = 3,580,610.06
5. Step 5: Solve for x
   x = 3,580,610.06/877
6. Step 6: Final answer
   x = 4,082.79