Finding the Third Proportional to 31,583 and 67,945

Step by Step Solution

1. Step 1: Write the proportion equation
   31,583 : 67,945 = 67,945 : x
2. Step 2: Convert to fraction form
   31,583/67,945 = 67,945/x
3. Step 3: Cross multiply
   31,583x = 67,945 × 67,945
4. Step 4: Simplify right side
   31,583x = 4,616,523,025
5. Step 5: Solve for x
   x = 4,616,523,025/31,583
6. Step 6: Final answer
   x = 146,171.14