Finding the Third Proportional to 2,189.25 and 4,804.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.25 : 4,804.31 = 4,804.31 : x
2. Step 2: Convert to fraction form
   2,189.25/4,804.31 = 4,804.31/x
3. Step 3: Cross multiply
   2,189.25x = 4,804.31 × 4,804.31
4. Step 4: Simplify right side
   2,189.25x = 23,081,418.60
5. Step 5: Solve for x
   x = 23,081,418.60/2,189.25
6. Step 6: Final answer
   x = 10,543.07