Finding the Third Proportional to 17,822 and 38,496

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 38,496 = 38,496 : x
2. Step 2: Convert to fraction form
   17,822/38,496 = 38,496/x
3. Step 3: Cross multiply
   17,822x = 38,496 × 38,496
4. Step 4: Simplify right side
   17,822x = 1,481,942,016
5. Step 5: Solve for x
   x = 1,481,942,016/17,822
6. Step 6: Final answer
   x = 83,152.40