Finding the Third Proportional to 2,291.63 and 4,755.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,291.63 : 4,755.38 = 4,755.38 : x
2. Step 2: Convert to fraction form
   2,291.63/4,755.38 = 4,755.38/x
3. Step 3: Cross multiply
   2,291.63x = 4,755.38 × 4,755.38
4. Step 4: Simplify right side
   2,291.63x = 22,613,591.39
5. Step 5: Solve for x
   x = 22,613,591.39/2,291.63
6. Step 6: Final answer
   x = 9,867.93