Finding the Third Proportional to 9,501 and 20,782

Step by Step Solution

1. Step 1: Write the proportion equation
   9,501 : 20,782 = 20,782 : x
2. Step 2: Convert to fraction form
   9,501/20,782 = 20,782/x
3. Step 3: Cross multiply
   9,501x = 20,782 × 20,782
4. Step 4: Simplify right side
   9,501x = 431,891,524
5. Step 5: Solve for x
   x = 431,891,524/9,501
6. Step 6: Final answer
   x = 45,457.48