Finding the Third Proportional to 17,753 and 38,442

Step by Step Solution

1. Step 1: Write the proportion equation
   17,753 : 38,442 = 38,442 : x
2. Step 2: Convert to fraction form
   17,753/38,442 = 38,442/x
3. Step 3: Cross multiply
   17,753x = 38,442 × 38,442
4. Step 4: Simplify right side
   17,753x = 1,477,787,364
5. Step 5: Solve for x
   x = 1,477,787,364/17,753
6. Step 6: Final answer
   x = 83,241.56