Finding the Third Proportional to 31,784 and 62,770

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 62,770 = 62,770 : x
2. Step 2: Convert to fraction form
   31,784/62,770 = 62,770/x
3. Step 3: Cross multiply
   31,784x = 62,770 × 62,770
4. Step 4: Simplify right side
   31,784x = 3,940,072,900
5. Step 5: Solve for x
   x = 3,940,072,900/31,784
6. Step 6: Final answer
   x = 123,964.04