Finding the Third Proportional to 2,265.75 and 3,580.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,265.75 : 3,580.88 = 3,580.88 : x
2. Step 2: Convert to fraction form
   2,265.75/3,580.88 = 3,580.88/x
3. Step 3: Cross multiply
   2,265.75x = 3,580.88 × 3,580.88
4. Step 4: Simplify right side
   2,265.75x = 12,822,665.77
5. Step 5: Solve for x
   x = 12,822,665.77/2,265.75
6. Step 6: Final answer
   x = 5,659.35