Finding the Third Proportional to 16,786 and 22,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,786 : 22,582.50 = 22,582.50 : x
2. Step 2: Convert to fraction form
   16,786/22,582.50 = 22,582.50/x
3. Step 3: Cross multiply
   16,786x = 22,582.50 × 22,582.50
4. Step 4: Simplify right side
   16,786x = 509,969,306.25
5. Step 5: Solve for x
   x = 509,969,306.25/16,786
6. Step 6: Final answer
   x = 30,380.63