Finding the Third Proportional to 17,665 and 38,398

Step by Step Solution

1. Step 1: Write the proportion equation
   17,665 : 38,398 = 38,398 : x
2. Step 2: Convert to fraction form
   17,665/38,398 = 38,398/x
3. Step 3: Cross multiply
   17,665x = 38,398 × 38,398
4. Step 4: Simplify right side
   17,665x = 1,474,406,404
5. Step 5: Solve for x
   x = 1,474,406,404/17,665
6. Step 6: Final answer
   x = 83,464.84