Finding the Third Proportional to 9,385 and 20,642

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385 : 20,642 = 20,642 : x
2. Step 2: Convert to fraction form
   9,385/20,642 = 20,642/x
3. Step 3: Cross multiply
   9,385x = 20,642 × 20,642
4. Step 4: Simplify right side
   9,385x = 426,092,164
5. Step 5: Solve for x
   x = 426,092,164/9,385
6. Step 6: Final answer
   x = 45,401.40