Finding the Third Proportional to 2,705.27 and 4,114.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,705.27 : 4,114.86 = 4,114.86 : x
2. Step 2: Convert to fraction form
   2,705.27/4,114.86 = 4,114.86/x
3. Step 3: Cross multiply
   2,705.27x = 4,114.86 × 4,114.86
4. Step 4: Simplify right side
   2,705.27x = 16,932,099.82
5. Step 5: Solve for x
   x = 16,932,099.82/2,705.27
6. Step 6: Final answer
   x = 6,258.92