Finding the Third Proportional to 9,402 and 20,505

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402 : 20,505 = 20,505 : x
2. Step 2: Convert to fraction form
   9,402/20,505 = 20,505/x
3. Step 3: Cross multiply
   9,402x = 20,505 × 20,505
4. Step 4: Simplify right side
   9,402x = 420,455,025
5. Step 5: Solve for x
   x = 420,455,025/9,402
6. Step 6: Final answer
   x = 44,719.74