Finding the Third Proportional to 31,780 and 62,761

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 62,761 = 62,761 : x
2. Step 2: Convert to fraction form
   31,780/62,761 = 62,761/x
3. Step 3: Cross multiply
   31,780x = 62,761 × 62,761
4. Step 4: Simplify right side
   31,780x = 3,938,943,121
5. Step 5: Solve for x
   x = 3,938,943,121/31,780
6. Step 6: Final answer
   x = 123,944.09