Finding the Third Proportional to 406.69 and 881.72

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 881.72 = 881.72 : x
2. Step 2: Convert to fraction form
   406.69/881.72 = 881.72/x
3. Step 3: Cross multiply
   406.69x = 881.72 × 881.72
4. Step 4: Simplify right side
   406.69x = 777,427.95
5. Step 5: Solve for x
   x = 777,427.95/406.69
6. Step 6: Final answer
   x = 1,911.61