Finding the Third Proportional to 17,856 and 25,965

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 25,965 = 25,965 : x
2. Step 2: Convert to fraction form
   17,856/25,965 = 25,965/x
3. Step 3: Cross multiply
   17,856x = 25,965 × 25,965
4. Step 4: Simplify right side
   17,856x = 674,181,225
5. Step 5: Solve for x
   x = 674,181,225/17,856
6. Step 6: Final answer
   x = 37,756.57