Finding the Third Proportional to 1,764.56 and 2,361.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,764.56 : 2,361.94 = 2,361.94 : x
2. Step 2: Convert to fraction form
   1,764.56/2,361.94 = 2,361.94/x
3. Step 3: Cross multiply
   1,764.56x = 2,361.94 × 2,361.94
4. Step 4: Simplify right side
   1,764.56x = 5,578,748.75
5. Step 5: Solve for x
   x = 5,578,748.75/1,764.56
6. Step 6: Final answer
   x = 3,161.55