Finding the Third Proportional to 1,784.25 and 2,743.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.25 : 2,743.88 = 2,743.88 : x
2. Step 2: Convert to fraction form
   1,784.25/2,743.88 = 2,743.88/x
3. Step 3: Cross multiply
   1,784.25x = 2,743.88 × 2,743.88
4. Step 4: Simplify right side
   1,784.25x = 7,528,850.02
5. Step 5: Solve for x
   x = 7,528,850.02/1,784.25
6. Step 6: Final answer
   x = 4,219.62