Finding the Third Proportional to 31,512 and 65,946

Step by Step Solution

1. Step 1: Write the proportion equation
   31,512 : 65,946 = 65,946 : x
2. Step 2: Convert to fraction form
   31,512/65,946 = 65,946/x
3. Step 3: Cross multiply
   31,512x = 65,946 × 65,946
4. Step 4: Simplify right side
   31,512x = 4,348,874,916
5. Step 5: Solve for x
   x = 4,348,874,916/31,512
6. Step 6: Final answer
   x = 138,006.95