Finding the Third Proportional to 2,834.06 and 4,164.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834.06 : 4,164.56 = 4,164.56 : x
2. Step 2: Convert to fraction form
   2,834.06/4,164.56 = 4,164.56/x
3. Step 3: Cross multiply
   2,834.06x = 4,164.56 × 4,164.56
4. Step 4: Simplify right side
   2,834.06x = 17,343,580.82
5. Step 5: Solve for x
   x = 17,343,580.82/2,834.06
6. Step 6: Final answer
   x = 6,119.69