Finding the Third Proportional to 1,804.50 and 2,784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,804.50 : 2,784.56 = 2,784.56 : x
2. Step 2: Convert to fraction form
   1,804.50/2,784.56 = 2,784.56/x
3. Step 3: Cross multiply
   1,804.50x = 2,784.56 × 2,784.56
4. Step 4: Simplify right side
   1,804.50x = 7,753,788.32
5. Step 5: Solve for x
   x = 7,753,788.32/1,804.50
6. Step 6: Final answer
   x = 4,296.92