Finding the Third Proportional to 2,854.13 and 3,898.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,854.13 : 3,898.69 = 3,898.69 : x
2. Step 2: Convert to fraction form
   2,854.13/3,898.69 = 3,898.69/x
3. Step 3: Cross multiply
   2,854.13x = 3,898.69 × 3,898.69
4. Step 4: Simplify right side
   2,854.13x = 15,199,764.22
5. Step 5: Solve for x
   x = 15,199,764.22/2,854.13
6. Step 6: Final answer
   x = 5,325.54