Finding the Third Proportional to 3,586.78 and 7,940.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586.78 : 7,940.53 = 7,940.53 : x
2. Step 2: Convert to fraction form
   3,586.78/7,940.53 = 7,940.53/x
3. Step 3: Cross multiply
   3,586.78x = 7,940.53 × 7,940.53
4. Step 4: Simplify right side
   3,586.78x = 63,052,036.53
5. Step 5: Solve for x
   x = 63,052,036.53/3,586.78
6. Step 6: Final answer
   x = 17,579.00