Finding the Third Proportional to 1,435.78 and 3,140.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.78 : 3,140.72 = 3,140.72 : x
2. Step 2: Convert to fraction form
   1,435.78/3,140.72 = 3,140.72/x
3. Step 3: Cross multiply
   1,435.78x = 3,140.72 × 3,140.72
4. Step 4: Simplify right side
   1,435.78x = 9,864,114.27
5. Step 5: Solve for x
   x = 9,864,114.27/1,435.78
6. Step 6: Final answer
   x = 6,870.21