Finding the Third Proportional to 31,782 and 62,766

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 62,766 = 62,766 : x
2. Step 2: Convert to fraction form
   31,782/62,766 = 62,766/x
3. Step 3: Cross multiply
   31,782x = 62,766 × 62,766
4. Step 4: Simplify right side
   31,782x = 3,939,570,756
5. Step 5: Solve for x
   x = 3,939,570,756/31,782
6. Step 6: Final answer
   x = 123,956.04