Finding the Third Proportional to 9,402 and 20,082

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402 : 20,082 = 20,082 : x
2. Step 2: Convert to fraction form
   9,402/20,082 = 20,082/x
3. Step 3: Cross multiply
   9,402x = 20,082 × 20,082
4. Step 4: Simplify right side
   9,402x = 403,286,724
5. Step 5: Solve for x
   x = 403,286,724/9,402
6. Step 6: Final answer
   x = 42,893.72