Finding the Third Proportional to 21,096 and 23,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,096 : 23,323.50 = 23,323.50 : x
2. Step 2: Convert to fraction form
   21,096/23,323.50 = 23,323.50/x
3. Step 3: Cross multiply
   21,096x = 23,323.50 × 23,323.50
4. Step 4: Simplify right side
   21,096x = 543,985,652.25
5. Step 5: Solve for x
   x = 543,985,652.25/21,096
6. Step 6: Final answer
   x = 25,786.20