Finding the Third Proportional to 31,585 and 67,949

Step by Step Solution

1. Step 1: Write the proportion equation
   31,585 : 67,949 = 67,949 : x
2. Step 2: Convert to fraction form
   31,585/67,949 = 67,949/x
3. Step 3: Cross multiply
   31,585x = 67,949 × 67,949
4. Step 4: Simplify right side
   31,585x = 4,617,066,601
5. Step 5: Solve for x
   x = 4,617,066,601/31,585
6. Step 6: Final answer
   x = 146,179.09