Finding the Third Proportional to 1,557.94 and 3,260.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.94 : 3,260.06 = 3,260.06 : x
2. Step 2: Convert to fraction form
   1,557.94/3,260.06 = 3,260.06/x
3. Step 3: Cross multiply
   1,557.94x = 3,260.06 × 3,260.06
4. Step 4: Simplify right side
   1,557.94x = 10,628,007.50
5. Step 5: Solve for x
   x = 10,628,007.50/1,557.94
6. Step 6: Final answer
   x = 6,821.84