Finding the Third Proportional to 3,648.80 and 5,643.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.80 : 5,643.42 = 5,643.42 : x
2. Step 2: Convert to fraction form
   3,648.80/5,643.42 = 5,643.42/x
3. Step 3: Cross multiply
   3,648.80x = 5,643.42 × 5,643.42
4. Step 4: Simplify right side
   3,648.80x = 31,848,210.46
5. Step 5: Solve for x
   x = 31,848,210.46/3,648.80
6. Step 6: Final answer
   x = 8,728.41