Finding the Third Proportional to 1,345.78 and 2,078.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.78 : 2,078.58 = 2,078.58 : x
2. Step 2: Convert to fraction form
   1,345.78/2,078.58 = 2,078.58/x
3. Step 3: Cross multiply
   1,345.78x = 2,078.58 × 2,078.58
4. Step 4: Simplify right side
   1,345.78x = 4,320,487.02
5. Step 5: Solve for x
   x = 4,320,487.02/1,345.78
6. Step 6: Final answer
   x = 3,210.39