Finding the Third Proportional to 17,566 and 31,234

Step by Step Solution

1. Step 1: Write the proportion equation
   17,566 : 31,234 = 31,234 : x
2. Step 2: Convert to fraction form
   17,566/31,234 = 31,234/x
3. Step 3: Cross multiply
   17,566x = 31,234 × 31,234
4. Step 4: Simplify right side
   17,566x = 975,562,756
5. Step 5: Solve for x
   x = 975,562,756/17,566
6. Step 6: Final answer
   x = 55,536.99