Finding the Third Proportional to 48,638 and 72,849

Step by Step Solution

1. Step 1: Write the proportion equation
   48,638 : 72,849 = 72,849 : x
2. Step 2: Convert to fraction form
   48,638/72,849 = 72,849/x
3. Step 3: Cross multiply
   48,638x = 72,849 × 72,849
4. Step 4: Simplify right side
   48,638x = 5,306,976,801
5. Step 5: Solve for x
   x = 5,306,976,801/48,638
6. Step 6: Final answer
   x = 109,111.74