Finding the Third Proportional to 1,578.50 and 3,320.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.50 : 3,320.06 = 3,320.06 : x
2. Step 2: Convert to fraction form
   1,578.50/3,320.06 = 3,320.06/x
3. Step 3: Cross multiply
   1,578.50x = 3,320.06 × 3,320.06
4. Step 4: Simplify right side
   1,578.50x = 11,022,815.00
5. Step 5: Solve for x
   x = 11,022,815.00/1,578.50
6. Step 6: Final answer
   x = 6,983.09