Finding the Third Proportional to 12,780 and 20,052

Step by Step Solution

1. Step 1: Write the proportion equation
   12,780 : 20,052 = 20,052 : x
2. Step 2: Convert to fraction form
   12,780/20,052 = 20,052/x
3. Step 3: Cross multiply
   12,780x = 20,052 × 20,052
4. Step 4: Simplify right side
   12,780x = 402,082,704
5. Step 5: Solve for x
   x = 402,082,704/12,780
6. Step 6: Final answer
   x = 31,461.87