Finding the Third Proportional to 748.69 and 882.56

Step by Step Solution

1. Step 1: Write the proportion equation
   748.69 : 882.56 = 882.56 : x
2. Step 2: Convert to fraction form
   748.69/882.56 = 882.56/x
3. Step 3: Cross multiply
   748.69x = 882.56 × 882.56
4. Step 4: Simplify right side
   748.69x = 778,916.57
5. Step 5: Solve for x
   x = 778,916.57/748.69
6. Step 6: Final answer
   x = 1,040.38