Finding the Third Proportional to 17,766 and 25,218

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 25,218 = 25,218 : x
2. Step 2: Convert to fraction form
   17,766/25,218 = 25,218/x
3. Step 3: Cross multiply
   17,766x = 25,218 × 25,218
4. Step 4: Simplify right side
   17,766x = 635,947,524
5. Step 5: Solve for x
   x = 635,947,524/17,766
6. Step 6: Final answer
   x = 35,795.76