Finding the Third Proportional to 2,103.17 and 2,852.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,103.17 : 2,852.82 = 2,852.82 : x
2. Step 2: Convert to fraction form
   2,103.17/2,852.82 = 2,852.82/x
3. Step 3: Cross multiply
   2,103.17x = 2,852.82 × 2,852.82
4. Step 4: Simplify right side
   2,103.17x = 8,138,568.41
5. Step 5: Solve for x
   x = 8,138,568.41/2,103.17
6. Step 6: Final answer
   x = 3,869.66