Finding the Third Proportional to 14,606 and 31,946

Step by Step Solution

1. Step 1: Write the proportion equation
   14,606 : 31,946 = 31,946 : x
2. Step 2: Convert to fraction form
   14,606/31,946 = 31,946/x
3. Step 3: Cross multiply
   14,606x = 31,946 × 31,946
4. Step 4: Simplify right side
   14,606x = 1,020,546,916
5. Step 5: Solve for x
   x = 1,020,546,916/14,606
6. Step 6: Final answer
   x = 69,871.76