Finding the Third Proportional to 2,457.94 and 3,893.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.94 : 3,893.86 = 3,893.86 : x
2. Step 2: Convert to fraction form
   2,457.94/3,893.86 = 3,893.86/x
3. Step 3: Cross multiply
   2,457.94x = 3,893.86 × 3,893.86
4. Step 4: Simplify right side
   2,457.94x = 15,162,140.83
5. Step 5: Solve for x
   x = 15,162,140.83/2,457.94
6. Step 6: Final answer
   x = 6,168.64