Finding the Third Proportional to 2,114.38 and 4,574.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.38 : 4,574.76 = 4,574.76 : x
2. Step 2: Convert to fraction form
   2,114.38/4,574.76 = 4,574.76/x
3. Step 3: Cross multiply
   2,114.38x = 4,574.76 × 4,574.76
4. Step 4: Simplify right side
   2,114.38x = 20,928,426.91
5. Step 5: Solve for x
   x = 20,928,426.91/2,114.38
6. Step 6: Final answer
   x = 9,898.12