Finding the Third Proportional to 17,586 and 31,275

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586 : 31,275 = 31,275 : x
2. Step 2: Convert to fraction form
   17,586/31,275 = 31,275/x
3. Step 3: Cross multiply
   17,586x = 31,275 × 31,275
4. Step 4: Simplify right side
   17,586x = 978,125,625
5. Step 5: Solve for x
   x = 978,125,625/17,586
6. Step 6: Final answer
   x = 55,619.56