Finding the Third Proportional to 811.69 and 1,300.22

Step by Step Solution

1. Step 1: Write the proportion equation
   811.69 : 1,300.22 = 1,300.22 : x
2. Step 2: Convert to fraction form
   811.69/1,300.22 = 1,300.22/x
3. Step 3: Cross multiply
   811.69x = 1,300.22 × 1,300.22
4. Step 4: Simplify right side
   811.69x = 1,690,568.80
5. Step 5: Solve for x
   x = 1,690,568.80/811.69
6. Step 6: Final answer
   x = 2,082.78