Finding the Third Proportional to 31,397 and 47,096

Step by Step Solution

1. Step 1: Write the proportion equation
   31,397 : 47,096 = 47,096 : x
2. Step 2: Convert to fraction form
   31,397/47,096 = 47,096/x
3. Step 3: Cross multiply
   31,397x = 47,096 × 47,096
4. Step 4: Simplify right side
   31,397x = 2,218,033,216
5. Step 5: Solve for x
   x = 2,218,033,216/31,397
6. Step 6: Final answer
   x = 70,644.75