Finding the Third Proportional to 17,822 and 42,017

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 42,017 = 42,017 : x
2. Step 2: Convert to fraction form
   17,822/42,017 = 42,017/x
3. Step 3: Cross multiply
   17,822x = 42,017 × 42,017
4. Step 4: Simplify right side
   17,822x = 1,765,428,289
5. Step 5: Solve for x
   x = 1,765,428,289/17,822
6. Step 6: Final answer
   x = 99,058.93