Finding the Third Proportional to 1,978.03 and 3,631.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.03 : 3,631.78 = 3,631.78 : x
2. Step 2: Convert to fraction form
   1,978.03/3,631.78 = 3,631.78/x
3. Step 3: Cross multiply
   1,978.03x = 3,631.78 × 3,631.78
4. Step 4: Simplify right side
   1,978.03x = 13,189,835.05
5. Step 5: Solve for x
   x = 13,189,835.05/1,978.03
6. Step 6: Final answer
   x = 6,668.16