Finding the Third Proportional to 3,642.47 and 5,959.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.47 : 5,959.83 = 5,959.83 : x
2. Step 2: Convert to fraction form
   3,642.47/5,959.83 = 5,959.83/x
3. Step 3: Cross multiply
   3,642.47x = 5,959.83 × 5,959.83
4. Step 4: Simplify right side
   3,642.47x = 35,519,551.28
5. Step 5: Solve for x
   x = 35,519,551.28/3,642.47
6. Step 6: Final answer
   x = 9,751.50