Finding the Third Proportional to 2,015.86 and 4,743.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,015.86 : 4,743.09 = 4,743.09 : x
2. Step 2: Convert to fraction form
   2,015.86/4,743.09 = 4,743.09/x
3. Step 3: Cross multiply
   2,015.86x = 4,743.09 × 4,743.09
4. Step 4: Simplify right side
   2,015.86x = 22,496,938.32
5. Step 5: Solve for x
   x = 22,496,938.32/2,015.86
6. Step 6: Final answer
   x = 11,159.97