Finding the Third Proportional to 882.56 and 1,882.31

Step by Step Solution

1. Step 1: Write the proportion equation
   882.56 : 1,882.31 = 1,882.31 : x
2. Step 2: Convert to fraction form
   882.56/1,882.31 = 1,882.31/x
3. Step 3: Cross multiply
   882.56x = 1,882.31 × 1,882.31
4. Step 4: Simplify right side
   882.56x = 3,543,100.35
5. Step 5: Solve for x
   x = 3,543,100.35/882.56
6. Step 6: Final answer
   x = 4,014.56