Finding the Third Proportional to 20,746 and 45,524

Step by Step Solution

1. Step 1: Write the proportion equation
   20,746 : 45,524 = 45,524 : x
2. Step 2: Convert to fraction form
   20,746/45,524 = 45,524/x
3. Step 3: Cross multiply
   20,746x = 45,524 × 45,524
4. Step 4: Simplify right side
   20,746x = 2,072,434,576
5. Step 5: Solve for x
   x = 2,072,434,576/20,746
6. Step 6: Final answer
   x = 99,895.62