Finding the Third Proportional to 2,314.41 and 3,410.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.41 : 3,410.86 = 3,410.86 : x
2. Step 2: Convert to fraction form
   2,314.41/3,410.86 = 3,410.86/x
3. Step 3: Cross multiply
   2,314.41x = 3,410.86 × 3,410.86
4. Step 4: Simplify right side
   2,314.41x = 11,633,961.68
5. Step 5: Solve for x
   x = 11,633,961.68/2,314.41
6. Step 6: Final answer
   x = 5,026.76