Finding the Third Proportional to 1,578.94 and 2,368.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.94 : 2,368.69 = 2,368.69 : x
2. Step 2: Convert to fraction form
   1,578.94/2,368.69 = 2,368.69/x
3. Step 3: Cross multiply
   1,578.94x = 2,368.69 × 2,368.69
4. Step 4: Simplify right side
   1,578.94x = 5,610,680.47
5. Step 5: Solve for x
   x = 5,610,680.47/1,578.94
6. Step 6: Final answer
   x = 3,553.45