Finding the Third Proportional to 2,140.69 and 3,141.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.69 : 3,141.84 = 3,141.84 : x
2. Step 2: Convert to fraction form
   2,140.69/3,141.84 = 3,141.84/x
3. Step 3: Cross multiply
   2,140.69x = 3,141.84 × 3,141.84
4. Step 4: Simplify right side
   2,140.69x = 9,871,182.15
5. Step 5: Solve for x
   x = 9,871,182.15/2,140.69
6. Step 6: Final answer
   x = 4,611.22