Finding the Third Proportional to 811.69 and 883.69

Step by Step Solution

1. Step 1: Write the proportion equation
   811.69 : 883.69 = 883.69 : x
2. Step 2: Convert to fraction form
   811.69/883.69 = 883.69/x
3. Step 3: Cross multiply
   811.69x = 883.69 × 883.69
4. Step 4: Simplify right side
   811.69x = 780,903.60
5. Step 5: Solve for x
   x = 780,903.60/811.69
6. Step 6: Final answer
   x = 962.07