Finding the Third Proportional to 2,758.13 and 4,162.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,758.13 : 4,162.88 = 4,162.88 : x
2. Step 2: Convert to fraction form
   2,758.13/4,162.88 = 4,162.88/x
3. Step 3: Cross multiply
   2,758.13x = 4,162.88 × 4,162.88
4. Step 4: Simplify right side
   2,758.13x = 17,329,528.27
5. Step 5: Solve for x
   x = 17,329,528.27/2,758.13
6. Step 6: Final answer
   x = 6,283.08