Finding the Third Proportional to 20,825 and 45,454

Step by Step Solution

1. Step 1: Write the proportion equation
   20,825 : 45,454 = 45,454 : x
2. Step 2: Convert to fraction form
   20,825/45,454 = 45,454/x
3. Step 3: Cross multiply
   20,825x = 45,454 × 45,454
4. Step 4: Simplify right side
   20,825x = 2,066,066,116
5. Step 5: Solve for x
   x = 2,066,066,116/20,825
6. Step 6: Final answer
   x = 99,210.86