Finding the Third Proportional to 31,469.50 and 47,661

Step by Step Solution

1. Step 1: Write the proportion equation
   31,469.50 : 47,661 = 47,661 : x
2. Step 2: Convert to fraction form
   31,469.50/47,661 = 47,661/x
3. Step 3: Cross multiply
   31,469.50x = 47,661 × 47,661
4. Step 4: Simplify right side
   31,469.50x = 2,271,570,921
5. Step 5: Solve for x
   x = 2,271,570,921/31,469.50
6. Step 6: Final answer
   x = 72,183.25