Finding the Third Proportional to 1,578.94 and 2,072.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.94 : 2,072.53 = 2,072.53 : x
2. Step 2: Convert to fraction form
   1,578.94/2,072.53 = 2,072.53/x
3. Step 3: Cross multiply
   1,578.94x = 2,072.53 × 2,072.53
4. Step 4: Simplify right side
   1,578.94x = 4,295,385.78
5. Step 5: Solve for x
   x = 4,295,385.78/1,578.94
6. Step 6: Final answer
   x = 2,720.43