Finding the Third Proportional to 2,191.27 and 4,843.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.27 : 4,843.86 = 4,843.86 : x
2. Step 2: Convert to fraction form
   2,191.27/4,843.86 = 4,843.86/x
3. Step 3: Cross multiply
   2,191.27x = 4,843.86 × 4,843.86
4. Step 4: Simplify right side
   2,191.27x = 23,463,011.49
5. Step 5: Solve for x
   x = 23,463,011.49/2,191.27
6. Step 6: Final answer
   x = 10,707.49