Finding the Third Proportional to 17,872 and 38,048

Step by Step Solution

1. Step 1: Write the proportion equation
   17,872 : 38,048 = 38,048 : x
2. Step 2: Convert to fraction form
   17,872/38,048 = 38,048/x
3. Step 3: Cross multiply
   17,872x = 38,048 × 38,048
4. Step 4: Simplify right side
   17,872x = 1,447,650,304
5. Step 5: Solve for x
   x = 1,447,650,304/17,872
6. Step 6: Final answer
   x = 81,001.02