Finding the Third Proportional to 1,578.19 and 2,357.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.19 : 2,357.53 = 2,357.53 : x
2. Step 2: Convert to fraction form
   1,578.19/2,357.53 = 2,357.53/x
3. Step 3: Cross multiply
   1,578.19x = 2,357.53 × 2,357.53
4. Step 4: Simplify right side
   1,578.19x = 5,557,953.59
5. Step 5: Solve for x
   x = 5,557,953.59/1,578.19
6. Step 6: Final answer
   x = 3,521.73