Finding the Third Proportional to 14,586 and 31,996

Step by Step Solution

1. Step 1: Write the proportion equation
   14,586 : 31,996 = 31,996 : x
2. Step 2: Convert to fraction form
   14,586/31,996 = 31,996/x
3. Step 3: Cross multiply
   14,586x = 31,996 × 31,996
4. Step 4: Simplify right side
   14,586x = 1,023,744,016
5. Step 5: Solve for x
   x = 1,023,744,016/14,586
6. Step 6: Final answer
   x = 70,186.76