Finding the Third Proportional to 47,162 and 73,614

Step by Step Solution

1. Step 1: Write the proportion equation
   47,162 : 73,614 = 73,614 : x
2. Step 2: Convert to fraction form
   47,162/73,614 = 73,614/x
3. Step 3: Cross multiply
   47,162x = 73,614 × 73,614
4. Step 4: Simplify right side
   47,162x = 5,419,020,996
5. Step 5: Solve for x
   x = 5,419,020,996/47,162
6. Step 6: Final answer
   x = 114,902.27