Finding the Third Proportional to 1,085.81 and 2,370.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.81 : 2,370.78 = 2,370.78 : x
2. Step 2: Convert to fraction form
   1,085.81/2,370.78 = 2,370.78/x
3. Step 3: Cross multiply
   1,085.81x = 2,370.78 × 2,370.78
4. Step 4: Simplify right side
   1,085.81x = 5,620,603.74
5. Step 5: Solve for x
   x = 5,620,603.74/1,085.81
6. Step 6: Final answer
   x = 5,176.40