Finding the Third Proportional to 1,640.25 and 3,586.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.25 : 3,586.78 = 3,586.78 : x
2. Step 2: Convert to fraction form
   1,640.25/3,586.78 = 3,586.78/x
3. Step 3: Cross multiply
   1,640.25x = 3,586.78 × 3,586.78
4. Step 4: Simplify right side
   1,640.25x = 12,864,999.74
5. Step 5: Solve for x
   x = 12,864,999.74/1,640.25
6. Step 6: Final answer
   x = 7,843.32