Finding the Third Proportional to 5,402 and 10,048

Step by Step Solution

1. Step 1: Write the proportion equation
   5,402 : 10,048 = 10,048 : x
2. Step 2: Convert to fraction form
   5,402/10,048 = 10,048/x
3. Step 3: Cross multiply
   5,402x = 10,048 × 10,048
4. Step 4: Simplify right side
   5,402x = 100,962,304
5. Step 5: Solve for x
   x = 100,962,304/5,402
6. Step 6: Final answer
   x = 18,689.80