Finding the Third Proportional to 14,605 and 31,799

Step by Step Solution

1. Step 1: Write the proportion equation
   14,605 : 31,799 = 31,799 : x
2. Step 2: Convert to fraction form
   14,605/31,799 = 31,799/x
3. Step 3: Cross multiply
   14,605x = 31,799 × 31,799
4. Step 4: Simplify right side
   14,605x = 1,011,176,401
5. Step 5: Solve for x
   x = 1,011,176,401/14,605
6. Step 6: Final answer
   x = 69,234.95