Finding the Third Proportional to 12,782 and 20,055

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782 : 20,055 = 20,055 : x
2. Step 2: Convert to fraction form
   12,782/20,055 = 20,055/x
3. Step 3: Cross multiply
   12,782x = 20,055 × 20,055
4. Step 4: Simplify right side
   12,782x = 402,203,025
5. Step 5: Solve for x
   x = 402,203,025/12,782
6. Step 6: Final answer
   x = 31,466.36