Finding the Third Proportional to 2,159.24 and 4,709.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.24 : 4,709.31 = 4,709.31 : x
2. Step 2: Convert to fraction form
   2,159.24/4,709.31 = 4,709.31/x
3. Step 3: Cross multiply
   2,159.24x = 4,709.31 × 4,709.31
4. Step 4: Simplify right side
   2,159.24x = 22,177,615.02
5. Step 5: Solve for x
   x = 22,177,615.02/2,159.24
6. Step 6: Final answer
   x = 10,271.05