Finding the Third Proportional to 766.13 and 1,435.78

Step by Step Solution

1. Step 1: Write the proportion equation
   766.13 : 1,435.78 = 1,435.78 : x
2. Step 2: Convert to fraction form
   766.13/1,435.78 = 1,435.78/x
3. Step 3: Cross multiply
   766.13x = 1,435.78 × 1,435.78
4. Step 4: Simplify right side
   766.13x = 2,061,467.80
5. Step 5: Solve for x
   x = 2,061,467.80/766.13
6. Step 6: Final answer
   x = 2,690.77