Finding the Third Proportional to 4,661.61 and 10,825.37

Step by Step Solution

1. Step 1: Write the proportion equation
   4,661.61 : 10,825.37 = 10,825.37 : x
2. Step 2: Convert to fraction form
   4,661.61/10,825.37 = 10,825.37/x
3. Step 3: Cross multiply
   4,661.61x = 10,825.37 × 10,825.37
4. Step 4: Simplify right side
   4,661.61x = 117,188,532.46
5. Step 5: Solve for x
   x = 117,188,532.46/4,661.61
6. Step 6: Final answer
   x = 25,139.05