Finding the Third Proportional to 2,565.75 and 4,090.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.75 : 4,090.88 = 4,090.88 : x
2. Step 2: Convert to fraction form
   2,565.75/4,090.88 = 4,090.88/x
3. Step 3: Cross multiply
   2,565.75x = 4,090.88 × 4,090.88
4. Step 4: Simplify right side
   2,565.75x = 16,735,258.27
5. Step 5: Solve for x
   x = 16,735,258.27/2,565.75
6. Step 6: Final answer
   x = 6,522.56