Finding the Third Proportional to 31,540 and 47,442

Step by Step Solution

1. Step 1: Write the proportion equation
   31,540 : 47,442 = 47,442 : x
2. Step 2: Convert to fraction form
   31,540/47,442 = 47,442/x
3. Step 3: Cross multiply
   31,540x = 47,442 × 47,442
4. Step 4: Simplify right side
   31,540x = 2,250,743,364
5. Step 5: Solve for x
   x = 2,250,743,364/31,540
6. Step 6: Final answer
   x = 71,361.55