Finding the Third Proportional to 14,180 and 31,096

Step by Step Solution

1. Step 1: Write the proportion equation
   14,180 : 31,096 = 31,096 : x
2. Step 2: Convert to fraction form
   14,180/31,096 = 31,096/x
3. Step 3: Cross multiply
   14,180x = 31,096 × 31,096
4. Step 4: Simplify right side
   14,180x = 966,961,216
5. Step 5: Solve for x
   x = 966,961,216/14,180
6. Step 6: Final answer
   x = 68,191.91