Finding the Third Proportional to 31,546 and 68,995

Step by Step Solution

1. Step 1: Write the proportion equation
   31,546 : 68,995 = 68,995 : x
2. Step 2: Convert to fraction form
   31,546/68,995 = 68,995/x
3. Step 3: Cross multiply
   31,546x = 68,995 × 68,995
4. Step 4: Simplify right side
   31,546x = 4,760,310,025
5. Step 5: Solve for x
   x = 4,760,310,025/31,546
6. Step 6: Final answer
   x = 150,900.59