Finding the Third Proportional to 2,584.50 and 3,654

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.50 : 3,654 = 3,654 : x
2. Step 2: Convert to fraction form
   2,584.50/3,654 = 3,654/x
3. Step 3: Cross multiply
   2,584.50x = 3,654 × 3,654
4. Step 4: Simplify right side
   2,584.50x = 13,351,716
5. Step 5: Solve for x
   x = 13,351,716/2,584.50
6. Step 6: Final answer
   x = 5,166.07