Finding the Third Proportional to 1,320.09 and 1,777.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.09 : 1,777.97 = 1,777.97 : x
2. Step 2: Convert to fraction form
   1,320.09/1,777.97 = 1,777.97/x
3. Step 3: Cross multiply
   1,320.09x = 1,777.97 × 1,777.97
4. Step 4: Simplify right side
   1,320.09x = 3,161,172.88
5. Step 5: Solve for x
   x = 3,161,172.88/1,320.09
6. Step 6: Final answer
   x = 2,394.66