Finding the Third Proportional to 9,774 and 20,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 20,209.50 = 20,209.50 : x
2. Step 2: Convert to fraction form
   9,774/20,209.50 = 20,209.50/x
3. Step 3: Cross multiply
   9,774x = 20,209.50 × 20,209.50
4. Step 4: Simplify right side
   9,774x = 408,423,890.25
5. Step 5: Solve for x
   x = 408,423,890.25/9,774
6. Step 6: Final answer
   x = 41,786.77