Finding the Third Proportional to 1,978.63 and 3,665.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.63 : 3,665.33 = 3,665.33 : x
2. Step 2: Convert to fraction form
   1,978.63/3,665.33 = 3,665.33/x
3. Step 3: Cross multiply
   1,978.63x = 3,665.33 × 3,665.33
4. Step 4: Simplify right side
   1,978.63x = 13,434,673.66
5. Step 5: Solve for x
   x = 13,434,673.66/1,978.63
6. Step 6: Final answer
   x = 6,789.88