Finding the Third Proportional to 1,457.44 and 2,083.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457.44 : 2,083.78 = 2,083.78 : x
2. Step 2: Convert to fraction form
   1,457.44/2,083.78 = 2,083.78/x
3. Step 3: Cross multiply
   1,457.44x = 2,083.78 × 2,083.78
4. Step 4: Simplify right side
   1,457.44x = 4,342,144.30
5. Step 5: Solve for x
   x = 4,342,144.30/1,457.44
6. Step 6: Final answer
   x = 2,979.30