Finding the Third Proportional to 20,592 and 45,096

Step by Step Solution

1. Step 1: Write the proportion equation
   20,592 : 45,096 = 45,096 : x
2. Step 2: Convert to fraction form
   20,592/45,096 = 45,096/x
3. Step 3: Cross multiply
   20,592x = 45,096 × 45,096
4. Step 4: Simplify right side
   20,592x = 2,033,649,216
5. Step 5: Solve for x
   x = 2,033,649,216/20,592
6. Step 6: Final answer
   x = 98,759.19