Finding the Third Proportional to 2,768.34 and 4,112.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.34 : 4,112.02 = 4,112.02 : x
2. Step 2: Convert to fraction form
   2,768.34/4,112.02 = 4,112.02/x
3. Step 3: Cross multiply
   2,768.34x = 4,112.02 × 4,112.02
4. Step 4: Simplify right side
   2,768.34x = 16,908,672.50
5. Step 5: Solve for x
   x = 16,908,672.50/2,768.34
6. Step 6: Final answer
   x = 6,107.87