Finding the Third Proportional to 31,778 and 62,758

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 62,758 = 62,758 : x
2. Step 2: Convert to fraction form
   31,778/62,758 = 62,758/x
3. Step 3: Cross multiply
   31,778x = 62,758 × 62,758
4. Step 4: Simplify right side
   31,778x = 3,938,566,564
5. Step 5: Solve for x
   x = 3,938,566,564/31,778
6. Step 6: Final answer
   x = 123,940.04