Finding the Third Proportional to 19,786 and 30,596

Step by Step Solution

1. Step 1: Write the proportion equation
   19,786 : 30,596 = 30,596 : x
2. Step 2: Convert to fraction form
   19,786/30,596 = 30,596/x
3. Step 3: Cross multiply
   19,786x = 30,596 × 30,596
4. Step 4: Simplify right side
   19,786x = 936,115,216
5. Step 5: Solve for x
   x = 936,115,216/19,786
6. Step 6: Final answer
   x = 47,312.00