Finding the Third Proportional to 2,854.13 and 4,428.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,854.13 : 4,428.56 = 4,428.56 : x
2. Step 2: Convert to fraction form
   2,854.13/4,428.56 = 4,428.56/x
3. Step 3: Cross multiply
   2,854.13x = 4,428.56 × 4,428.56
4. Step 4: Simplify right side
   2,854.13x = 19,612,165.82
5. Step 5: Solve for x
   x = 19,612,165.82/2,854.13
6. Step 6: Final answer
   x = 6,871.52