Finding the Third Proportional to 2,657.81 and 3,904.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.81 : 3,904.45 = 3,904.45 : x
2. Step 2: Convert to fraction form
   2,657.81/3,904.45 = 3,904.45/x
3. Step 3: Cross multiply
   2,657.81x = 3,904.45 × 3,904.45
4. Step 4: Simplify right side
   2,657.81x = 15,244,754.21
5. Step 5: Solve for x
   x = 15,244,754.21/2,657.81
6. Step 6: Final answer
   x = 5,735.83