Finding the Third Proportional to 47,686 and 72,143

Step by Step Solution

1. Step 1: Write the proportion equation
   47,686 : 72,143 = 72,143 : x
2. Step 2: Convert to fraction form
   47,686/72,143 = 72,143/x
3. Step 3: Cross multiply
   47,686x = 72,143 × 72,143
4. Step 4: Simplify right side
   47,686x = 5,204,612,449
5. Step 5: Solve for x
   x = 5,204,612,449/47,686
6. Step 6: Final answer
   x = 109,143.41