Finding the Third Proportional to 31,783 and 62,767

Step by Step Solution

1. Step 1: Write the proportion equation
   31,783 : 62,767 = 62,767 : x
2. Step 2: Convert to fraction form
   31,783/62,767 = 62,767/x
3. Step 3: Cross multiply
   31,783x = 62,767 × 62,767
4. Step 4: Simplify right side
   31,783x = 3,939,696,289
5. Step 5: Solve for x
   x = 3,939,696,289/31,783
6. Step 6: Final answer
   x = 123,956.09