Finding the Third Proportional to 1,821.75 and 2,725.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,821.75 : 2,725.69 = 2,725.69 : x
2. Step 2: Convert to fraction form
   1,821.75/2,725.69 = 2,725.69/x
3. Step 3: Cross multiply
   1,821.75x = 2,725.69 × 2,725.69
4. Step 4: Simplify right side
   1,821.75x = 7,429,372.35
5. Step 5: Solve for x
   x = 7,429,372.35/1,821.75
6. Step 6: Final answer
   x = 4,078.15