Finding the Third Proportional to 13,782 and 20,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782 : 20,650.50 = 20,650.50 : x
2. Step 2: Convert to fraction form
   13,782/20,650.50 = 20,650.50/x
3. Step 3: Cross multiply
   13,782x = 20,650.50 × 20,650.50
4. Step 4: Simplify right side
   13,782x = 426,443,150.25
5. Step 5: Solve for x
   x = 426,443,150.25/13,782
6. Step 6: Final answer
   x = 30,942.04