Finding the Third Proportional to 2,504.25 and 3,892.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504.25 : 3,892.92 = 3,892.92 : x
2. Step 2: Convert to fraction form
   2,504.25/3,892.92 = 3,892.92/x
3. Step 3: Cross multiply
   2,504.25x = 3,892.92 × 3,892.92
4. Step 4: Simplify right side
   2,504.25x = 15,154,840.72
5. Step 5: Solve for x
   x = 15,154,840.72/2,504.25
6. Step 6: Final answer
   x = 6,051.65