Finding the Third Proportional to 2,432.25 and 5,259.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,432.25 : 5,259.38 = 5,259.38 : x
2. Step 2: Convert to fraction form
   2,432.25/5,259.38 = 5,259.38/x
3. Step 3: Cross multiply
   2,432.25x = 5,259.38 × 5,259.38
4. Step 4: Simplify right side
   2,432.25x = 27,661,025.39
5. Step 5: Solve for x
   x = 27,661,025.39/2,432.25
6. Step 6: Final answer
   x = 11,372.61