Finding the Third Proportional to 31,778 and 62,756

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 62,756 = 62,756 : x
2. Step 2: Convert to fraction form
   31,778/62,756 = 62,756/x
3. Step 3: Cross multiply
   31,778x = 62,756 × 62,756
4. Step 4: Simplify right side
   31,778x = 3,938,315,536
5. Step 5: Solve for x
   x = 3,938,315,536/31,778
6. Step 6: Final answer
   x = 123,932.14