Finding the Third Proportional to 2,189.63 and 4,743.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.63 : 4,743.38 = 4,743.38 : x
2. Step 2: Convert to fraction form
   2,189.63/4,743.38 = 4,743.38/x
3. Step 3: Cross multiply
   2,189.63x = 4,743.38 × 4,743.38
4. Step 4: Simplify right side
   2,189.63x = 22,499,606.39
5. Step 5: Solve for x
   x = 22,499,606.39/2,189.63
6. Step 6: Final answer
   x = 10,275.55