Finding the Third Proportional to 2,159.24 and 4,729.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.24 : 4,729.25 = 4,729.25 : x
2. Step 2: Convert to fraction form
   2,159.24/4,729.25 = 4,729.25/x
3. Step 3: Cross multiply
   2,159.24x = 4,729.25 × 4,729.25
4. Step 4: Simplify right side
   2,159.24x = 22,365,759.38
5. Step 5: Solve for x
   x = 22,365,759.38/2,159.24
6. Step 6: Final answer
   x = 10,358.19