Finding the Third Proportional to 31,780 and 62,762

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 62,762 = 62,762 : x
2. Step 2: Convert to fraction form
   31,780/62,762 = 62,762/x
3. Step 3: Cross multiply
   31,780x = 62,762 × 62,762
4. Step 4: Simplify right side
   31,780x = 3,939,068,644
5. Step 5: Solve for x
   x = 3,939,068,644/31,780
6. Step 6: Final answer
   x = 123,948.04