Finding the Third Proportional to 21,804 and 48,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,804 : 48,538.50 = 48,538.50 : x
2. Step 2: Convert to fraction form
   21,804/48,538.50 = 48,538.50/x
3. Step 3: Cross multiply
   21,804x = 48,538.50 × 48,538.50
4. Step 4: Simplify right side
   21,804x = 2,355,985,982.25
5. Step 5: Solve for x
   x = 2,355,985,982.25/21,804
6. Step 6: Final answer
   x = 108,052.93