Finding the Third Proportional to 20,096 and 43,763

Step by Step Solution

1. Step 1: Write the proportion equation
   20,096 : 43,763 = 43,763 : x
2. Step 2: Convert to fraction form
   20,096/43,763 = 43,763/x
3. Step 3: Cross multiply
   20,096x = 43,763 × 43,763
4. Step 4: Simplify right side
   20,096x = 1,915,200,169
5. Step 5: Solve for x
   x = 1,915,200,169/20,096
6. Step 6: Final answer
   x = 95,302.56