Finding the Third Proportional to 784.69 and 1,261.69

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 1,261.69 = 1,261.69 : x
2. Step 2: Convert to fraction form
   784.69/1,261.69 = 1,261.69/x
3. Step 3: Cross multiply
   784.69x = 1,261.69 × 1,261.69
4. Step 4: Simplify right side
   784.69x = 1,591,855.35
5. Step 5: Solve for x
   x = 1,591,855.35/784.69
6. Step 6: Final answer
   x = 2,028.65