Finding the Third Proportional to 2,141.94 and 4,693.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.94 : 4,693.94 = 4,693.94 : x
2. Step 2: Convert to fraction form
   2,141.94/4,693.94 = 4,693.94/x
3. Step 3: Cross multiply
   2,141.94x = 4,693.94 × 4,693.94
4. Step 4: Simplify right side
   2,141.94x = 22,033,049.25
5. Step 5: Solve for x
   x = 22,033,049.25/2,141.94
6. Step 6: Final answer
   x = 10,286.50