Finding the Third Proportional to 31,778 and 46,749

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 46,749 = 46,749 : x
2. Step 2: Convert to fraction form
   31,778/46,749 = 46,749/x
3. Step 3: Cross multiply
   31,778x = 46,749 × 46,749
4. Step 4: Simplify right side
   31,778x = 2,185,469,001
5. Step 5: Solve for x
   x = 2,185,469,001/31,778
6. Step 6: Final answer
   x = 68,773.02