Finding the Third Proportional to 17,634 and 38,422

Step by Step Solution

1. Step 1: Write the proportion equation
   17,634 : 38,422 = 38,422 : x
2. Step 2: Convert to fraction form
   17,634/38,422 = 38,422/x
3. Step 3: Cross multiply
   17,634x = 38,422 × 38,422
4. Step 4: Simplify right side
   17,634x = 1,476,250,084
5. Step 5: Solve for x
   x = 1,476,250,084/17,634
6. Step 6: Final answer
   x = 83,716.12