Finding the Third Proportional to 19,606 and 30,382

Step by Step Solution

1. Step 1: Write the proportion equation
   19,606 : 30,382 = 30,382 : x
2. Step 2: Convert to fraction form
   19,606/30,382 = 30,382/x
3. Step 3: Cross multiply
   19,606x = 30,382 × 30,382
4. Step 4: Simplify right side
   19,606x = 923,065,924
5. Step 5: Solve for x
   x = 923,065,924/19,606
6. Step 6: Final answer
   x = 47,080.79