Finding the Third Proportional to 20,852 and 45,597

Step by Step Solution

1. Step 1: Write the proportion equation
   20,852 : 45,597 = 45,597 : x
2. Step 2: Convert to fraction form
   20,852/45,597 = 45,597/x
3. Step 3: Cross multiply
   20,852x = 45,597 × 45,597
4. Step 4: Simplify right side
   20,852x = 2,079,086,409
5. Step 5: Solve for x
   x = 2,079,086,409/20,852
6. Step 6: Final answer
   x = 99,706.81