Finding the Third Proportional to 19,496 and 30,382

Step by Step Solution

1. Step 1: Write the proportion equation
   19,496 : 30,382 = 30,382 : x
2. Step 2: Convert to fraction form
   19,496/30,382 = 30,382/x
3. Step 3: Cross multiply
   19,496x = 30,382 × 30,382
4. Step 4: Simplify right side
   19,496x = 923,065,924
5. Step 5: Solve for x
   x = 923,065,924/19,496
6. Step 6: Final answer
   x = 47,346.43