Finding the Third Proportional to 17,577 and 31,257

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577 : 31,257 = 31,257 : x
2. Step 2: Convert to fraction form
   17,577/31,257 = 31,257/x
3. Step 3: Cross multiply
   17,577x = 31,257 × 31,257
4. Step 4: Simplify right side
   17,577x = 977,000,049
5. Step 5: Solve for x
   x = 977,000,049/17,577
6. Step 6: Final answer
   x = 55,584.00