Finding the Third Proportional to 17,634 and 25,857

Step by Step Solution

1. Step 1: Write the proportion equation
   17,634 : 25,857 = 25,857 : x
2. Step 2: Convert to fraction form
   17,634/25,857 = 25,857/x
3. Step 3: Cross multiply
   17,634x = 25,857 × 25,857
4. Step 4: Simplify right side
   17,634x = 668,584,449
5. Step 5: Solve for x
   x = 668,584,449/17,634
6. Step 6: Final answer
   x = 37,914.51