Finding the Third Proportional to 1,587.94 and 3,046.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,587.94 : 3,046.78 = 3,046.78 : x
2. Step 2: Convert to fraction form
   1,587.94/3,046.78 = 3,046.78/x
3. Step 3: Cross multiply
   1,587.94x = 3,046.78 × 3,046.78
4. Step 4: Simplify right side
   1,587.94x = 9,282,875.99
5. Step 5: Solve for x
   x = 9,282,875.99/1,587.94
6. Step 6: Final answer
   x = 5,845.87