Finding the Third Proportional to 47,927 and 72,561

Step by Step Solution

1. Step 1: Write the proportion equation
   47,927 : 72,561 = 72,561 : x
2. Step 2: Convert to fraction form
   47,927/72,561 = 72,561/x
3. Step 3: Cross multiply
   47,927x = 72,561 × 72,561
4. Step 4: Simplify right side
   47,927x = 5,265,098,721
5. Step 5: Solve for x
   x = 5,265,098,721/47,927
6. Step 6: Final answer
   x = 109,856.63