Finding the Third Proportional to 17,705 and 25,827

Step by Step Solution

1. Step 1: Write the proportion equation
   17,705 : 25,827 = 25,827 : x
2. Step 2: Convert to fraction form
   17,705/25,827 = 25,827/x
3. Step 3: Cross multiply
   17,705x = 25,827 × 25,827
4. Step 4: Simplify right side
   17,705x = 667,033,929
5. Step 5: Solve for x
   x = 667,033,929/17,705
6. Step 6: Final answer
   x = 37,674.89