Finding the Third Proportional to 48,538 and 72,735

Step by Step Solution

1. Step 1: Write the proportion equation
   48,538 : 72,735 = 72,735 : x
2. Step 2: Convert to fraction form
   48,538/72,735 = 72,735/x
3. Step 3: Cross multiply
   48,538x = 72,735 × 72,735
4. Step 4: Simplify right side
   48,538x = 5,290,380,225
5. Step 5: Solve for x
   x = 5,290,380,225/48,538
6. Step 6: Final answer
   x = 108,994.61