Finding the Third Proportional to 14,800 and 31,699

Step by Step Solution

1. Step 1: Write the proportion equation
   14,800 : 31,699 = 31,699 : x
2. Step 2: Convert to fraction form
   14,800/31,699 = 31,699/x
3. Step 3: Cross multiply
   14,800x = 31,699 × 31,699
4. Step 4: Simplify right side
   14,800x = 1,004,826,601
5. Step 5: Solve for x
   x = 1,004,826,601/14,800
6. Step 6: Final answer
   x = 67,893.69