Finding the Third Proportional to 19,997 and 47,540

Step by Step Solution

1. Step 1: Write the proportion equation
   19,997 : 47,540 = 47,540 : x
2. Step 2: Convert to fraction form
   19,997/47,540 = 47,540/x
3. Step 3: Cross multiply
   19,997x = 47,540 × 47,540
4. Step 4: Simplify right side
   19,997x = 2,260,051,600
5. Step 5: Solve for x
   x = 2,260,051,600/19,997
6. Step 6: Final answer
   x = 113,019.53