Finding the Third Proportional to 3,643.88 and 5,140.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.88 : 5,140.69 = 5,140.69 : x
2. Step 2: Convert to fraction form
   3,643.88/5,140.69 = 5,140.69/x
3. Step 3: Cross multiply
   3,643.88x = 5,140.69 × 5,140.69
4. Step 4: Simplify right side
   3,643.88x = 26,426,667.97
5. Step 5: Solve for x
   x = 26,426,667.97/3,643.88
6. Step 6: Final answer
   x = 7,252.35