Finding the Third Proportional to 1,968.05 and 3,628.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,968.05 : 3,628.55 = 3,628.55 : x
2. Step 2: Convert to fraction form
   1,968.05/3,628.55 = 3,628.55/x
3. Step 3: Cross multiply
   1,968.05x = 3,628.55 × 3,628.55
4. Step 4: Simplify right side
   1,968.05x = 13,166,352.42
5. Step 5: Solve for x
   x = 13,166,352.42/1,968.05
6. Step 6: Final answer
   x = 6,690.06