Finding the Third Proportional to 31,628 and 67,946

Step by Step Solution

1. Step 1: Write the proportion equation
   31,628 : 67,946 = 67,946 : x
2. Step 2: Convert to fraction form
   31,628/67,946 = 67,946/x
3. Step 3: Cross multiply
   31,628x = 67,946 × 67,946
4. Step 4: Simplify right side
   31,628x = 4,616,658,916
5. Step 5: Solve for x
   x = 4,616,658,916/31,628
6. Step 6: Final answer
   x = 145,967.46