Finding the Third Proportional to 17,856 and 25,509

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 25,509 = 25,509 : x
2. Step 2: Convert to fraction form
   17,856/25,509 = 25,509/x
3. Step 3: Cross multiply
   17,856x = 25,509 × 25,509
4. Step 4: Simplify right side
   17,856x = 650,709,081
5. Step 5: Solve for x
   x = 650,709,081/17,856
6. Step 6: Final answer
   x = 36,442.04