Finding the Third Proportional to 31,182 and 47,551

Step by Step Solution

1. Step 1: Write the proportion equation
   31,182 : 47,551 = 47,551 : x
2. Step 2: Convert to fraction form
   31,182/47,551 = 47,551/x
3. Step 3: Cross multiply
   31,182x = 47,551 × 47,551
4. Step 4: Simplify right side
   31,182x = 2,261,097,601
5. Step 5: Solve for x
   x = 2,261,097,601/31,182
6. Step 6: Final answer
   x = 72,512.91